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Finding the Third Proportional to 22,951 and 48,659

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Solution

The third proportional to 22,951 and 48,659 is: 103,163.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,951 : 48,659 = 48,659 : x
  2. Step 2: Convert to fraction form
    22,951/48,659 = 48,659/x
  3. Step 3: Cross multiply
    22,951x = 48,659 × 48,659
  4. Step 4: Simplify right side
    22,951x = 2,367,698,281
  5. Step 5: Solve for x
    x = 2,367,698,281/22,951
  6. Step 6: Final answer
    x = 103,163.19

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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.