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Finding the Third Proportional to 13,452 and 21,596

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Solution

The third proportional to 13,452 and 21,596 is: 34,670.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,452 : 21,596 = 21,596 : x
  2. Step 2: Convert to fraction form
    13,452/21,596 = 21,596/x
  3. Step 3: Cross multiply
    13,452x = 21,596 × 21,596
  4. Step 4: Simplify right side
    13,452x = 466,387,216
  5. Step 5: Solve for x
    x = 466,387,216/13,452
  6. Step 6: Final answer
    x = 34,670.47

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.