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Finding the Third Proportional to 17,728.88 and 27,064.13

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Solution

The third proportional to 17,728.88 and 27,064.13 is: 41,314.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,728.88 : 27,064.13 = 27,064.13 : x
  2. Step 2: Convert to fraction form
    17,728.88/27,064.13 = 27,064.13/x
  3. Step 3: Cross multiply
    17,728.88x = 27,064.13 × 27,064.13
  4. Step 4: Simplify right side
    17,728.88x = 732,466,862.02
  5. Step 5: Solve for x
    x = 732,466,862.02/17,728.88
  6. Step 6: Final answer
    x = 41,314.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.