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Finding the Third Proportional to 47,638 and 103,486

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Solution

The third proportional to 47,638 and 103,486 is: 224,806.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,638 : 103,486 = 103,486 : x
  2. Step 2: Convert to fraction form
    47,638/103,486 = 103,486/x
  3. Step 3: Cross multiply
    47,638x = 103,486 × 103,486
  4. Step 4: Simplify right side
    47,638x = 10,709,352,196
  5. Step 5: Solve for x
    x = 10,709,352,196/47,638
  6. Step 6: Final answer
    x = 224,806.92

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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.