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Finding the Third Proportional to 22,910 and 48,628

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Solution

The third proportional to 22,910 and 48,628 is: 103,216.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,910 : 48,628 = 48,628 : x
  2. Step 2: Convert to fraction form
    22,910/48,628 = 48,628/x
  3. Step 3: Cross multiply
    22,910x = 48,628 × 48,628
  4. Step 4: Simplify right side
    22,910x = 2,364,682,384
  5. Step 5: Solve for x
    x = 2,364,682,384/22,910
  6. Step 6: Final answer
    x = 103,216.17

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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.