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Finding the Third Proportional to 29,904.19 and 41,332.78

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Solution

The third proportional to 29,904.19 and 41,332.78 is: 57,129.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,904.19 : 41,332.78 = 41,332.78 : x
  2. Step 2: Convert to fraction form
    29,904.19/41,332.78 = 41,332.78/x
  3. Step 3: Cross multiply
    29,904.19x = 41,332.78 × 41,332.78
  4. Step 4: Simplify right side
    29,904.19x = 1,708,398,805.86
  5. Step 5: Solve for x
    x = 1,708,398,805.86/29,904.19
  6. Step 6: Final answer
    x = 57,129.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.