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Finding the Third Proportional to 24,552 and 52,454

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Solution

The third proportional to 24,552 and 52,454 is: 112,065.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,552 : 52,454 = 52,454 : x
  2. Step 2: Convert to fraction form
    24,552/52,454 = 52,454/x
  3. Step 3: Cross multiply
    24,552x = 52,454 × 52,454
  4. Step 4: Simplify right side
    24,552x = 2,751,422,116
  5. Step 5: Solve for x
    x = 2,751,422,116/24,552
  6. Step 6: Final answer
    x = 112,065.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.