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Finding the Third Proportional to 10,683 and 24,591

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Solution

The third proportional to 10,683 and 24,591 is: 56,605.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,683 : 24,591 = 24,591 : x
  2. Step 2: Convert to fraction form
    10,683/24,591 = 24,591/x
  3. Step 3: Cross multiply
    10,683x = 24,591 × 24,591
  4. Step 4: Simplify right side
    10,683x = 604,717,281
  5. Step 5: Solve for x
    x = 604,717,281/10,683
  6. Step 6: Final answer
    x = 56,605.57

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.