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Finding the Third Proportional to 23,341 and 48,959

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Solution

The third proportional to 23,341 and 48,959 is: 102,694.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,341 : 48,959 = 48,959 : x
  2. Step 2: Convert to fraction form
    23,341/48,959 = 48,959/x
  3. Step 3: Cross multiply
    23,341x = 48,959 × 48,959
  4. Step 4: Simplify right side
    23,341x = 2,396,983,681
  5. Step 5: Solve for x
    x = 2,396,983,681/23,341
  6. Step 6: Final answer
    x = 102,694.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.