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Finding the Third Proportional to 22,525 and 48,658

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Solution

The third proportional to 22,525 and 48,658 is: 105,109.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,525 : 48,658 = 48,658 : x
  2. Step 2: Convert to fraction form
    22,525/48,658 = 48,658/x
  3. Step 3: Cross multiply
    22,525x = 48,658 × 48,658
  4. Step 4: Simplify right side
    22,525x = 2,367,600,964
  5. Step 5: Solve for x
    x = 2,367,600,964/22,525
  6. Step 6: Final answer
    x = 105,109.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.