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Finding the Third Proportional to 25,673.63 and 34,340.63

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Solution

The third proportional to 25,673.63 and 34,340.63 is: 45,933.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,673.63 : 34,340.63 = 34,340.63 : x
  2. Step 2: Convert to fraction form
    25,673.63/34,340.63 = 34,340.63/x
  3. Step 3: Cross multiply
    25,673.63x = 34,340.63 × 34,340.63
  4. Step 4: Simplify right side
    25,673.63x = 1,179,278,525.39
  5. Step 5: Solve for x
    x = 1,179,278,525.39/25,673.63
  6. Step 6: Final answer
    x = 45,933.46

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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.