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Finding the Third Proportional to 24,707 and 51,049

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Solution

The third proportional to 24,707 and 51,049 is: 105,476.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,707 : 51,049 = 51,049 : x
  2. Step 2: Convert to fraction form
    24,707/51,049 = 51,049/x
  3. Step 3: Cross multiply
    24,707x = 51,049 × 51,049
  4. Step 4: Simplify right side
    24,707x = 2,606,000,401
  5. Step 5: Solve for x
    x = 2,606,000,401/24,707
  6. Step 6: Final answer
    x = 105,476.20

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.