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Finding the Third Proportional to 42,714.84 and 64,022.91

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Solution

The third proportional to 42,714.84 and 64,022.91 is: 95,960.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,714.84 : 64,022.91 = 64,022.91 : x
  2. Step 2: Convert to fraction form
    42,714.84/64,022.91 = 64,022.91/x
  3. Step 3: Cross multiply
    42,714.84x = 64,022.91 × 64,022.91
  4. Step 4: Simplify right side
    42,714.84x = 4,098,932,524.70
  5. Step 5: Solve for x
    x = 4,098,932,524.70/42,714.84
  6. Step 6: Final answer
    x = 95,960.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.