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Finding the Third Proportional to 15,830 and 22,815

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Solution

The third proportional to 15,830 and 22,815 is: 32,882.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,830 : 22,815 = 22,815 : x
  2. Step 2: Convert to fraction form
    15,830/22,815 = 22,815/x
  3. Step 3: Cross multiply
    15,830x = 22,815 × 22,815
  4. Step 4: Simplify right side
    15,830x = 520,524,225
  5. Step 5: Solve for x
    x = 520,524,225/15,830
  6. Step 6: Final answer
    x = 32,882.14

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.