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Finding the Third Proportional to 13,352 and 20,932

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Solution

The third proportional to 13,352 and 20,932 is: 32,815.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,352 : 20,932 = 20,932 : x
  2. Step 2: Convert to fraction form
    13,352/20,932 = 20,932/x
  3. Step 3: Cross multiply
    13,352x = 20,932 × 20,932
  4. Step 4: Simplify right side
    13,352x = 438,148,624
  5. Step 5: Solve for x
    x = 438,148,624/13,352
  6. Step 6: Final answer
    x = 32,815.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.