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Finding the Third Proportional to 22,742 and 48,643

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Solution

The third proportional to 22,742 and 48,643 is: 104,042.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,742 : 48,643 = 48,643 : x
  2. Step 2: Convert to fraction form
    22,742/48,643 = 48,643/x
  3. Step 3: Cross multiply
    22,742x = 48,643 × 48,643
  4. Step 4: Simplify right side
    22,742x = 2,366,141,449
  5. Step 5: Solve for x
    x = 2,366,141,449/22,742
  6. Step 6: Final answer
    x = 104,042.80

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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.