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Finding the Third Proportional to 22,748 and 49,380

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Solution

The third proportional to 22,748 and 49,380 is: 107,191.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,748 : 49,380 = 49,380 : x
  2. Step 2: Convert to fraction form
    22,748/49,380 = 49,380/x
  3. Step 3: Cross multiply
    22,748x = 49,380 × 49,380
  4. Step 4: Simplify right side
    22,748x = 2,438,384,400
  5. Step 5: Solve for x
    x = 2,438,384,400/22,748
  6. Step 6: Final answer
    x = 107,191.16

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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.