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Finding the Third Proportional to 38,680 and 58,830

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Solution

The third proportional to 38,680 and 58,830 is: 89,476.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,680 : 58,830 = 58,830 : x
  2. Step 2: Convert to fraction form
    38,680/58,830 = 58,830/x
  3. Step 3: Cross multiply
    38,680x = 58,830 × 58,830
  4. Step 4: Simplify right side
    38,680x = 3,460,968,900
  5. Step 5: Solve for x
    x = 3,460,968,900/38,680
  6. Step 6: Final answer
    x = 89,476.96

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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.