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Finding the Third Proportional to 24,719 and 51,486

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Solution

The third proportional to 24,719 and 51,486 is: 107,237.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,719 : 51,486 = 51,486 : x
  2. Step 2: Convert to fraction form
    24,719/51,486 = 51,486/x
  3. Step 3: Cross multiply
    24,719x = 51,486 × 51,486
  4. Step 4: Simplify right side
    24,719x = 2,650,808,196
  5. Step 5: Solve for x
    x = 2,650,808,196/24,719
  6. Step 6: Final answer
    x = 107,237.68

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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.