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Finding the Third Proportional to 10,174 and 22,117

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Solution

The third proportional to 10,174 and 22,117 is: 48,079.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,174 : 22,117 = 22,117 : x
  2. Step 2: Convert to fraction form
    10,174/22,117 = 22,117/x
  3. Step 3: Cross multiply
    10,174x = 22,117 × 22,117
  4. Step 4: Simplify right side
    10,174x = 489,161,689
  5. Step 5: Solve for x
    x = 489,161,689/10,174
  6. Step 6: Final answer
    x = 48,079.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.