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Finding the Third Proportional to 24,294 and 49,478

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Solution

The third proportional to 24,294 and 49,478 is: 100,768.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,294 : 49,478 = 49,478 : x
  2. Step 2: Convert to fraction form
    24,294/49,478 = 49,478/x
  3. Step 3: Cross multiply
    24,294x = 49,478 × 49,478
  4. Step 4: Simplify right side
    24,294x = 2,448,072,484
  5. Step 5: Solve for x
    x = 2,448,072,484/24,294
  6. Step 6: Final answer
    x = 100,768.60

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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.