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Finding the Third Proportional to 27,649.41 and 41,700.66

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Solution

The third proportional to 27,649.41 and 41,700.66 is: 62,892.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,649.41 : 41,700.66 = 41,700.66 : x
  2. Step 2: Convert to fraction form
    27,649.41/41,700.66 = 41,700.66/x
  3. Step 3: Cross multiply
    27,649.41x = 41,700.66 × 41,700.66
  4. Step 4: Simplify right side
    27,649.41x = 1,738,944,731.68
  5. Step 5: Solve for x
    x = 1,738,944,731.68/27,649.41
  6. Step 6: Final answer
    x = 62,892.66

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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.