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Finding the Third Proportional to 29,243.53 and 47,092.64

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Solution

The third proportional to 29,243.53 and 47,092.64 is: 75,836.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,243.53 : 47,092.64 = 47,092.64 : x
  2. Step 2: Convert to fraction form
    29,243.53/47,092.64 = 47,092.64/x
  3. Step 3: Cross multiply
    29,243.53x = 47,092.64 × 47,092.64
  4. Step 4: Simplify right side
    29,243.53x = 2,217,716,801.04
  5. Step 5: Solve for x
    x = 2,217,716,801.04/29,243.53
  6. Step 6: Final answer
    x = 75,836.15

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.