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Finding the Third Proportional to 4,627 and 10,117

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Solution

The third proportional to 4,627 and 10,117 is: 22,120.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,627 : 10,117 = 10,117 : x
  2. Step 2: Convert to fraction form
    4,627/10,117 = 10,117/x
  3. Step 3: Cross multiply
    4,627x = 10,117 × 10,117
  4. Step 4: Simplify right side
    4,627x = 102,353,689
  5. Step 5: Solve for x
    x = 102,353,689/4,627
  6. Step 6: Final answer
    x = 22,120.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.