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Finding the Third Proportional to 15,325 and 22,700

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Solution

The third proportional to 15,325 and 22,700 is: 33,624.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,325 : 22,700 = 22,700 : x
  2. Step 2: Convert to fraction form
    15,325/22,700 = 22,700/x
  3. Step 3: Cross multiply
    15,325x = 22,700 × 22,700
  4. Step 4: Simplify right side
    15,325x = 515,290,000
  5. Step 5: Solve for x
    x = 515,290,000/15,325
  6. Step 6: Final answer
    x = 33,624.14

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.