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Finding the Third Proportional to 30,709.84 and 41,268.95

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Solution

The third proportional to 30,709.84 and 41,268.95 is: 55,458.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,709.84 : 41,268.95 = 41,268.95 : x
  2. Step 2: Convert to fraction form
    30,709.84/41,268.95 = 41,268.95/x
  3. Step 3: Cross multiply
    30,709.84x = 41,268.95 × 41,268.95
  4. Step 4: Simplify right side
    30,709.84x = 1,703,125,927.81
  5. Step 5: Solve for x
    x = 1,703,125,927.81/30,709.84
  6. Step 6: Final answer
    x = 55,458.64

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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.