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Finding the Third Proportional to 11,596 and 13,432

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Solution

The third proportional to 11,596 and 13,432 is: 15,558.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596 : 13,432 = 13,432 : x
  2. Step 2: Convert to fraction form
    11,596/13,432 = 13,432/x
  3. Step 3: Cross multiply
    11,596x = 13,432 × 13,432
  4. Step 4: Simplify right side
    11,596x = 180,418,624
  5. Step 5: Solve for x
    x = 180,418,624/11,596
  6. Step 6: Final answer
    x = 15,558.69

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.