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Finding the Third Proportional to 20,282 and 47,117

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Solution

The third proportional to 20,282 and 47,117 is: 109,457.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,282 : 47,117 = 47,117 : x
  2. Step 2: Convert to fraction form
    20,282/47,117 = 47,117/x
  3. Step 3: Cross multiply
    20,282x = 47,117 × 47,117
  4. Step 4: Simplify right side
    20,282x = 2,220,011,689
  5. Step 5: Solve for x
    x = 2,220,011,689/20,282
  6. Step 6: Final answer
    x = 109,457.24

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.