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Finding the Third Proportional to 24,324 and 50,498

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Solution

The third proportional to 24,324 and 50,498 is: 104,836.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,324 : 50,498 = 50,498 : x
  2. Step 2: Convert to fraction form
    24,324/50,498 = 50,498/x
  3. Step 3: Cross multiply
    24,324x = 50,498 × 50,498
  4. Step 4: Simplify right side
    24,324x = 2,550,048,004
  5. Step 5: Solve for x
    x = 2,550,048,004/24,324
  6. Step 6: Final answer
    x = 104,836.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.