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Finding the Third Proportional to 56,892.38 and 81,948.38

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Solution

The third proportional to 56,892.38 and 81,948.38 is: 118,039.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,892.38 : 81,948.38 = 81,948.38 : x
  2. Step 2: Convert to fraction form
    56,892.38/81,948.38 = 81,948.38/x
  3. Step 3: Cross multiply
    56,892.38x = 81,948.38 × 81,948.38
  4. Step 4: Simplify right side
    56,892.38x = 6,715,536,165.14
  5. Step 5: Solve for x
    x = 6,715,536,165.14/56,892.38
  6. Step 6: Final answer
    x = 118,039.30

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.