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Finding the Third Proportional to 12,280 and 26,635

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Solution

The third proportional to 12,280 and 26,635 is: 57,770.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,280 : 26,635 = 26,635 : x
  2. Step 2: Convert to fraction form
    12,280/26,635 = 26,635/x
  3. Step 3: Cross multiply
    12,280x = 26,635 × 26,635
  4. Step 4: Simplify right side
    12,280x = 709,423,225
  5. Step 5: Solve for x
    x = 709,423,225/12,280
  6. Step 6: Final answer
    x = 57,770.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.