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Finding the Third Proportional to 38,582 and 58,288

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Solution

The third proportional to 38,582 and 58,288 is: 88,058.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,582 : 58,288 = 58,288 : x
  2. Step 2: Convert to fraction form
    38,582/58,288 = 58,288/x
  3. Step 3: Cross multiply
    38,582x = 58,288 × 58,288
  4. Step 4: Simplify right side
    38,582x = 3,397,490,944
  5. Step 5: Solve for x
    x = 3,397,490,944/38,582
  6. Step 6: Final answer
    x = 88,058.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.