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Finding the Third Proportional to 24,330 and 36,570

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Solution

The third proportional to 24,330 and 36,570 is: 54,967.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,330 : 36,570 = 36,570 : x
  2. Step 2: Convert to fraction form
    24,330/36,570 = 36,570/x
  3. Step 3: Cross multiply
    24,330x = 36,570 × 36,570
  4. Step 4: Simplify right side
    24,330x = 1,337,364,900
  5. Step 5: Solve for x
    x = 1,337,364,900/24,330
  6. Step 6: Final answer
    x = 54,967.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.