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Finding the Third Proportional to 38,820 and 58,599

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Solution

The third proportional to 38,820 and 58,599 is: 88,455.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,820 : 58,599 = 58,599 : x
  2. Step 2: Convert to fraction form
    38,820/58,599 = 58,599/x
  3. Step 3: Cross multiply
    38,820x = 58,599 × 58,599
  4. Step 4: Simplify right side
    38,820x = 3,433,842,801
  5. Step 5: Solve for x
    x = 3,433,842,801/38,820
  6. Step 6: Final answer
    x = 88,455.51

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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.