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Finding the Third Proportional to 38,462.50 and 58,206

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Solution

The third proportional to 38,462.50 and 58,206 is: 88,084.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,462.50 : 58,206 = 58,206 : x
  2. Step 2: Convert to fraction form
    38,462.50/58,206 = 58,206/x
  3. Step 3: Cross multiply
    38,462.50x = 58,206 × 58,206
  4. Step 4: Simplify right side
    38,462.50x = 3,387,938,436
  5. Step 5: Solve for x
    x = 3,387,938,436/38,462.50
  6. Step 6: Final answer
    x = 88,084.20

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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.