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Finding the Third Proportional to 15,882.75 and 34,355.25

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Solution

The third proportional to 15,882.75 and 34,355.25 is: 74,312.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,882.75 : 34,355.25 = 34,355.25 : x
  2. Step 2: Convert to fraction form
    15,882.75/34,355.25 = 34,355.25/x
  3. Step 3: Cross multiply
    15,882.75x = 34,355.25 × 34,355.25
  4. Step 4: Simplify right side
    15,882.75x = 1,180,283,202.56
  5. Step 5: Solve for x
    x = 1,180,283,202.56/15,882.75
  6. Step 6: Final answer
    x = 74,312.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.