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Finding the Third Proportional to 24,484 and 50,417

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Solution

The third proportional to 24,484 and 50,417 is: 103,817.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,484 : 50,417 = 50,417 : x
  2. Step 2: Convert to fraction form
    24,484/50,417 = 50,417/x
  3. Step 3: Cross multiply
    24,484x = 50,417 × 50,417
  4. Step 4: Simplify right side
    24,484x = 2,541,873,889
  5. Step 5: Solve for x
    x = 2,541,873,889/24,484
  6. Step 6: Final answer
    x = 103,817.75

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.