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Finding the Third Proportional to 24,781 and 35,498

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Solution

The third proportional to 24,781 and 35,498 is: 50,849.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,781 : 35,498 = 35,498 : x
  2. Step 2: Convert to fraction form
    24,781/35,498 = 35,498/x
  3. Step 3: Cross multiply
    24,781x = 35,498 × 35,498
  4. Step 4: Simplify right side
    24,781x = 1,260,108,004
  5. Step 5: Solve for x
    x = 1,260,108,004/24,781
  6. Step 6: Final answer
    x = 50,849.76

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.