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Finding the Third Proportional to 27,387 and 41,377.50

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Solution

The third proportional to 27,387 and 41,377.50 is: 62,514.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,387 : 41,377.50 = 41,377.50 : x
  2. Step 2: Convert to fraction form
    27,387/41,377.50 = 41,377.50/x
  3. Step 3: Cross multiply
    27,387x = 41,377.50 × 41,377.50
  4. Step 4: Simplify right side
    27,387x = 1,712,097,506.25
  5. Step 5: Solve for x
    x = 1,712,097,506.25/27,387
  6. Step 6: Final answer
    x = 62,514.97

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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.