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Finding the Third Proportional to 27,657.50 and 41,514

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Solution

The third proportional to 27,657.50 and 41,514 is: 62,312.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,657.50 : 41,514 = 41,514 : x
  2. Step 2: Convert to fraction form
    27,657.50/41,514 = 41,514/x
  3. Step 3: Cross multiply
    27,657.50x = 41,514 × 41,514
  4. Step 4: Simplify right side
    27,657.50x = 1,723,412,196
  5. Step 5: Solve for x
    x = 1,723,412,196/27,657.50
  6. Step 6: Final answer
    x = 62,312.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.