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Finding the Third Proportional to 39,646.13 and 57,798.56

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Solution

The third proportional to 39,646.13 and 57,798.56 is: 84,262.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,646.13 : 57,798.56 = 57,798.56 : x
  2. Step 2: Convert to fraction form
    39,646.13/57,798.56 = 57,798.56/x
  3. Step 3: Cross multiply
    39,646.13x = 57,798.56 × 57,798.56
  4. Step 4: Simplify right side
    39,646.13x = 3,340,673,827.07
  5. Step 5: Solve for x
    x = 3,340,673,827.07/39,646.13
  6. Step 6: Final answer
    x = 84,262.30

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.