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Finding the Third Proportional to 38,897 and 58,346

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Solution

The third proportional to 38,897 and 58,346 is: 87,519.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,897 : 58,346 = 58,346 : x
  2. Step 2: Convert to fraction form
    38,897/58,346 = 58,346/x
  3. Step 3: Cross multiply
    38,897x = 58,346 × 58,346
  4. Step 4: Simplify right side
    38,897x = 3,404,255,716
  5. Step 5: Solve for x
    x = 3,404,255,716/38,897
  6. Step 6: Final answer
    x = 87,519.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.