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Finding the Third Proportional to 24,306 and 36,534

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Solution

The third proportional to 24,306 and 36,534 is: 54,913.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,306 : 36,534 = 36,534 : x
  2. Step 2: Convert to fraction form
    24,306/36,534 = 36,534/x
  3. Step 3: Cross multiply
    24,306x = 36,534 × 36,534
  4. Step 4: Simplify right side
    24,306x = 1,334,733,156
  5. Step 5: Solve for x
    x = 1,334,733,156/24,306
  6. Step 6: Final answer
    x = 54,913.73

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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.