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Finding the Third Proportional to 38,466 and 58,421

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Solution

The third proportional to 38,466 and 58,421 is: 88,728.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,466 : 58,421 = 58,421 : x
  2. Step 2: Convert to fraction form
    38,466/58,421 = 58,421/x
  3. Step 3: Cross multiply
    38,466x = 58,421 × 58,421
  4. Step 4: Simplify right side
    38,466x = 3,413,013,241
  5. Step 5: Solve for x
    x = 3,413,013,241/38,466
  6. Step 6: Final answer
    x = 88,728.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.