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Finding the Third Proportional to 23,384 and 49,650

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Solution

The third proportional to 23,384 and 49,650 is: 105,419.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,384 : 49,650 = 49,650 : x
  2. Step 2: Convert to fraction form
    23,384/49,650 = 49,650/x
  3. Step 3: Cross multiply
    23,384x = 49,650 × 49,650
  4. Step 4: Simplify right side
    23,384x = 2,465,122,500
  5. Step 5: Solve for x
    x = 2,465,122,500/23,384
  6. Step 6: Final answer
    x = 105,419.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.