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Finding the Third Proportional to 22,829 and 48,879

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Solution

The third proportional to 22,829 and 48,879 is: 104,654.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,829 : 48,879 = 48,879 : x
  2. Step 2: Convert to fraction form
    22,829/48,879 = 48,879/x
  3. Step 3: Cross multiply
    22,829x = 48,879 × 48,879
  4. Step 4: Simplify right side
    22,829x = 2,389,156,641
  5. Step 5: Solve for x
    x = 2,389,156,641/22,829
  6. Step 6: Final answer
    x = 104,654.46

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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.