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Finding the Third Proportional to 30,653.63 and 41,193.56

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Solution

The third proportional to 30,653.63 and 41,193.56 is: 55,357.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,653.63 : 41,193.56 = 41,193.56 : x
  2. Step 2: Convert to fraction form
    30,653.63/41,193.56 = 41,193.56/x
  3. Step 3: Cross multiply
    30,653.63x = 41,193.56 × 41,193.56
  4. Step 4: Simplify right side
    30,653.63x = 1,696,909,591.44
  5. Step 5: Solve for x
    x = 1,696,909,591.44/30,653.63
  6. Step 6: Final answer
    x = 55,357.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.