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Finding the Third Proportional to 16,549 and 24,337

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Solution

The third proportional to 16,549 and 24,337 is: 35,790.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,549 : 24,337 = 24,337 : x
  2. Step 2: Convert to fraction form
    16,549/24,337 = 24,337/x
  3. Step 3: Cross multiply
    16,549x = 24,337 × 24,337
  4. Step 4: Simplify right side
    16,549x = 592,289,569
  5. Step 5: Solve for x
    x = 592,289,569/16,549
  6. Step 6: Final answer
    x = 35,790.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.