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Finding the Third Proportional to 22,858 and 48,524

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Solution

The third proportional to 22,858 and 48,524 is: 103,008.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,858 : 48,524 = 48,524 : x
  2. Step 2: Convert to fraction form
    22,858/48,524 = 48,524/x
  3. Step 3: Cross multiply
    22,858x = 48,524 × 48,524
  4. Step 4: Simplify right side
    22,858x = 2,354,578,576
  5. Step 5: Solve for x
    x = 2,354,578,576/22,858
  6. Step 6: Final answer
    x = 103,008.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.