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Finding the Third Proportional to 20,802 and 48,565

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Solution

The third proportional to 20,802 and 48,565 is: 113,381.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,802 : 48,565 = 48,565 : x
  2. Step 2: Convert to fraction form
    20,802/48,565 = 48,565/x
  3. Step 3: Cross multiply
    20,802x = 48,565 × 48,565
  4. Step 4: Simplify right side
    20,802x = 2,358,559,225
  5. Step 5: Solve for x
    x = 2,358,559,225/20,802
  6. Step 6: Final answer
    x = 113,381.37

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.