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Finding the Third Proportional to 38,840 and 58,102

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Solution

The third proportional to 38,840 and 58,102 is: 86,916.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,840 : 58,102 = 58,102 : x
  2. Step 2: Convert to fraction form
    38,840/58,102 = 58,102/x
  3. Step 3: Cross multiply
    38,840x = 58,102 × 58,102
  4. Step 4: Simplify right side
    38,840x = 3,375,842,404
  5. Step 5: Solve for x
    x = 3,375,842,404/38,840
  6. Step 6: Final answer
    x = 86,916.64

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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.