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Finding the Third Proportional to 15,735.75 and 34,374

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Solution

The third proportional to 15,735.75 and 34,374 is: 75,088.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,735.75 : 34,374 = 34,374 : x
  2. Step 2: Convert to fraction form
    15,735.75/34,374 = 34,374/x
  3. Step 3: Cross multiply
    15,735.75x = 34,374 × 34,374
  4. Step 4: Simplify right side
    15,735.75x = 1,181,571,876
  5. Step 5: Solve for x
    x = 1,181,571,876/15,735.75
  6. Step 6: Final answer
    x = 75,088.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.