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Finding the Third Proportional to 38,405 and 51,613

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Solution

The third proportional to 38,405 and 51,613 is: 69,363.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,405 : 51,613 = 51,613 : x
  2. Step 2: Convert to fraction form
    38,405/51,613 = 51,613/x
  3. Step 3: Cross multiply
    38,405x = 51,613 × 51,613
  4. Step 4: Simplify right side
    38,405x = 2,663,901,769
  5. Step 5: Solve for x
    x = 2,663,901,769/38,405
  6. Step 6: Final answer
    x = 69,363.41

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.