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Finding the Third Proportional to 22,348 and 60,798

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Solution

The third proportional to 22,348 and 60,798 is: 165,401.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,348 : 60,798 = 60,798 : x
  2. Step 2: Convert to fraction form
    22,348/60,798 = 60,798/x
  3. Step 3: Cross multiply
    22,348x = 60,798 × 60,798
  4. Step 4: Simplify right side
    22,348x = 3,696,396,804
  5. Step 5: Solve for x
    x = 3,696,396,804/22,348
  6. Step 6: Final answer
    x = 165,401.68

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.