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Finding the Third Proportional to 24,290 and 49,470

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Solution

The third proportional to 24,290 and 49,470 is: 100,752.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,290 : 49,470 = 49,470 : x
  2. Step 2: Convert to fraction form
    24,290/49,470 = 49,470/x
  3. Step 3: Cross multiply
    24,290x = 49,470 × 49,470
  4. Step 4: Simplify right side
    24,290x = 2,447,280,900
  5. Step 5: Solve for x
    x = 2,447,280,900/24,290
  6. Step 6: Final answer
    x = 100,752.61

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.