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Finding the Third Proportional to 20,747 and 32,416

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Solution

The third proportional to 20,747 and 32,416 is: 50,648.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,747 : 32,416 = 32,416 : x
  2. Step 2: Convert to fraction form
    20,747/32,416 = 32,416/x
  3. Step 3: Cross multiply
    20,747x = 32,416 × 32,416
  4. Step 4: Simplify right side
    20,747x = 1,050,797,056
  5. Step 5: Solve for x
    x = 1,050,797,056/20,747
  6. Step 6: Final answer
    x = 50,648.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.