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Finding the Third Proportional to 19,480 and 41,387

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Solution

The third proportional to 19,480 and 41,387 is: 87,930.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,480 : 41,387 = 41,387 : x
  2. Step 2: Convert to fraction form
    19,480/41,387 = 41,387/x
  3. Step 3: Cross multiply
    19,480x = 41,387 × 41,387
  4. Step 4: Simplify right side
    19,480x = 1,712,883,769
  5. Step 5: Solve for x
    x = 1,712,883,769/19,480
  6. Step 6: Final answer
    x = 87,930.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.