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Finding the Third Proportional to 14,461 and 31,549

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Solution

The third proportional to 14,461 and 31,549 is: 68,829.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,461 : 31,549 = 31,549 : x
  2. Step 2: Convert to fraction form
    14,461/31,549 = 31,549/x
  3. Step 3: Cross multiply
    14,461x = 31,549 × 31,549
  4. Step 4: Simplify right side
    14,461x = 995,339,401
  5. Step 5: Solve for x
    x = 995,339,401/14,461
  6. Step 6: Final answer
    x = 68,829.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.