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Finding the Third Proportional to 24,984 and 34,812

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Solution

The third proportional to 24,984 and 34,812 is: 48,506.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,984 : 34,812 = 34,812 : x
  2. Step 2: Convert to fraction form
    24,984/34,812 = 34,812/x
  3. Step 3: Cross multiply
    24,984x = 34,812 × 34,812
  4. Step 4: Simplify right side
    24,984x = 1,211,875,344
  5. Step 5: Solve for x
    x = 1,211,875,344/24,984
  6. Step 6: Final answer
    x = 48,506.06

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.