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Finding the Third Proportional to 15,180.75 and 22,982.88

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Solution

The third proportional to 15,180.75 and 22,982.88 is: 34,794.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,180.75 : 22,982.88 = 22,982.88 : x
  2. Step 2: Convert to fraction form
    15,180.75/22,982.88 = 22,982.88/x
  3. Step 3: Cross multiply
    15,180.75x = 22,982.88 × 22,982.88
  4. Step 4: Simplify right side
    15,180.75x = 528,212,543.27
  5. Step 5: Solve for x
    x = 528,212,543.27/15,180.75
  6. Step 6: Final answer
    x = 34,794.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.