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Finding the Third Proportional to 11,282 and 16,737

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Solution

The third proportional to 11,282 and 16,737 is: 24,829.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,282 : 16,737 = 16,737 : x
  2. Step 2: Convert to fraction form
    11,282/16,737 = 16,737/x
  3. Step 3: Cross multiply
    11,282x = 16,737 × 16,737
  4. Step 4: Simplify right side
    11,282x = 280,127,169
  5. Step 5: Solve for x
    x = 280,127,169/11,282
  6. Step 6: Final answer
    x = 24,829.57

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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.