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Finding the Third Proportional to 37,864.13 and 56,062.13

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Solution

The third proportional to 37,864.13 and 56,062.13 is: 83,006.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,864.13 : 56,062.13 = 56,062.13 : x
  2. Step 2: Convert to fraction form
    37,864.13/56,062.13 = 56,062.13/x
  3. Step 3: Cross multiply
    37,864.13x = 56,062.13 × 56,062.13
  4. Step 4: Simplify right side
    37,864.13x = 3,142,961,859.52
  5. Step 5: Solve for x
    x = 3,142,961,859.52/37,864.13
  6. Step 6: Final answer
    x = 83,006.32

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.