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Finding the Third Proportional to 39,646.13 and 56,733.75

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Solution

The third proportional to 39,646.13 and 56,733.75 is: 81,186.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,646.13 : 56,733.75 = 56,733.75 : x
  2. Step 2: Convert to fraction form
    39,646.13/56,733.75 = 56,733.75/x
  3. Step 3: Cross multiply
    39,646.13x = 56,733.75 × 56,733.75
  4. Step 4: Simplify right side
    39,646.13x = 3,218,718,389.06
  5. Step 5: Solve for x
    x = 3,218,718,389.06/39,646.13
  6. Step 6: Final answer
    x = 81,186.20

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.