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Finding the Third Proportional to 29,892.38 and 46,897.31

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Solution

The third proportional to 29,892.38 and 46,897.31 is: 73,575.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,892.38 : 46,897.31 = 46,897.31 : x
  2. Step 2: Convert to fraction form
    29,892.38/46,897.31 = 46,897.31/x
  3. Step 3: Cross multiply
    29,892.38x = 46,897.31 × 46,897.31
  4. Step 4: Simplify right side
    29,892.38x = 2,199,357,919.72
  5. Step 5: Solve for x
    x = 2,199,357,919.72/29,892.38
  6. Step 6: Final answer
    x = 73,575.88

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.