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Finding the Third Proportional to 27,772.88 and 39,687.19

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Solution

The third proportional to 27,772.88 and 39,687.19 is: 56,712.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,772.88 : 39,687.19 = 39,687.19 : x
  2. Step 2: Convert to fraction form
    27,772.88/39,687.19 = 39,687.19/x
  3. Step 3: Cross multiply
    27,772.88x = 39,687.19 × 39,687.19
  4. Step 4: Simplify right side
    27,772.88x = 1,575,072,851.66
  5. Step 5: Solve for x
    x = 1,575,072,851.66/27,772.88
  6. Step 6: Final answer
    x = 56,712.63

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.