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Finding the Third Proportional to 38,416 and 51,960

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Solution

The third proportional to 38,416 and 51,960 is: 70,279.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,416 : 51,960 = 51,960 : x
  2. Step 2: Convert to fraction form
    38,416/51,960 = 51,960/x
  3. Step 3: Cross multiply
    38,416x = 51,960 × 51,960
  4. Step 4: Simplify right side
    38,416x = 2,699,841,600
  5. Step 5: Solve for x
    x = 2,699,841,600/38,416
  6. Step 6: Final answer
    x = 70,279.09

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.