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Finding the Third Proportional to 10,117 and 22,079

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Solution

The third proportional to 10,117 and 22,079 is: 48,184.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,117 : 22,079 = 22,079 : x
  2. Step 2: Convert to fraction form
    10,117/22,079 = 22,079/x
  3. Step 3: Cross multiply
    10,117x = 22,079 × 22,079
  4. Step 4: Simplify right side
    10,117x = 487,482,241
  5. Step 5: Solve for x
    x = 487,482,241/10,117
  6. Step 6: Final answer
    x = 48,184.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.