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Finding the Third Proportional to 38,948 and 84,457

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Solution

The third proportional to 38,948 and 84,457 is: 183,141.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,948 : 84,457 = 84,457 : x
  2. Step 2: Convert to fraction form
    38,948/84,457 = 84,457/x
  3. Step 3: Cross multiply
    38,948x = 84,457 × 84,457
  4. Step 4: Simplify right side
    38,948x = 7,132,984,849
  5. Step 5: Solve for x
    x = 7,132,984,849/38,948
  6. Step 6: Final answer
    x = 183,141.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.