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Finding the Third Proportional to 24,106 and 49,750

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Solution

The third proportional to 24,106 and 49,750 is: 102,674.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,106 : 49,750 = 49,750 : x
  2. Step 2: Convert to fraction form
    24,106/49,750 = 49,750/x
  3. Step 3: Cross multiply
    24,106x = 49,750 × 49,750
  4. Step 4: Simplify right side
    24,106x = 2,475,062,500
  5. Step 5: Solve for x
    x = 2,475,062,500/24,106
  6. Step 6: Final answer
    x = 102,674.13

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.