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Finding the Third Proportional to 39,313.13 and 84,882.38

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Solution

The third proportional to 39,313.13 and 84,882.38 is: 183,272.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,313.13 : 84,882.38 = 84,882.38 : x
  2. Step 2: Convert to fraction form
    39,313.13/84,882.38 = 84,882.38/x
  3. Step 3: Cross multiply
    39,313.13x = 84,882.38 × 84,882.38
  4. Step 4: Simplify right side
    39,313.13x = 7,205,017,585.64
  5. Step 5: Solve for x
    x = 7,205,017,585.64/39,313.13
  6. Step 6: Final answer
    x = 183,272.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.