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Finding the Third Proportional to 38,874 and 56,188.13

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Solution

The third proportional to 38,874 and 56,188.13 is: 81,213.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,874 : 56,188.13 = 56,188.13 : x
  2. Step 2: Convert to fraction form
    38,874/56,188.13 = 56,188.13/x
  3. Step 3: Cross multiply
    38,874x = 56,188.13 × 56,188.13
  4. Step 4: Simplify right side
    38,874x = 3,157,105,391.02
  5. Step 5: Solve for x
    x = 3,157,105,391.02/38,874
  6. Step 6: Final answer
    x = 81,213.80

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.