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Finding the Third Proportional to 39,313 and 84,883

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Solution

The third proportional to 39,313 and 84,883 is: 183,275.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,313 : 84,883 = 84,883 : x
  2. Step 2: Convert to fraction form
    39,313/84,883 = 84,883/x
  3. Step 3: Cross multiply
    39,313x = 84,883 × 84,883
  4. Step 4: Simplify right side
    39,313x = 7,205,123,689
  5. Step 5: Solve for x
    x = 7,205,123,689/39,313
  6. Step 6: Final answer
    x = 183,275.86

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