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Finding the Third Proportional to 14,558 and 22,549

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Solution

The third proportional to 14,558 and 22,549 is: 34,926.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,558 : 22,549 = 22,549 : x
  2. Step 2: Convert to fraction form
    14,558/22,549 = 22,549/x
  3. Step 3: Cross multiply
    14,558x = 22,549 × 22,549
  4. Step 4: Simplify right side
    14,558x = 508,457,401
  5. Step 5: Solve for x
    x = 508,457,401/14,558
  6. Step 6: Final answer
    x = 34,926.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.