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Finding the Third Proportional to 15,270 and 24,330

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Solution

The third proportional to 15,270 and 24,330 is: 38,765.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,270 : 24,330 = 24,330 : x
  2. Step 2: Convert to fraction form
    15,270/24,330 = 24,330/x
  3. Step 3: Cross multiply
    15,270x = 24,330 × 24,330
  4. Step 4: Simplify right side
    15,270x = 591,948,900
  5. Step 5: Solve for x
    x = 591,948,900/15,270
  6. Step 6: Final answer
    x = 38,765.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.