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Finding the Third Proportional to 39,650 and 54,370

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Solution

The third proportional to 39,650 and 54,370 is: 74,554.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,650 : 54,370 = 54,370 : x
  2. Step 2: Convert to fraction form
    39,650/54,370 = 54,370/x
  3. Step 3: Cross multiply
    39,650x = 54,370 × 54,370
  4. Step 4: Simplify right side
    39,650x = 2,956,096,900
  5. Step 5: Solve for x
    x = 2,956,096,900/39,650
  6. Step 6: Final answer
    x = 74,554.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.