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Finding the Third Proportional to 22,179 and 48,597

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Solution

The third proportional to 22,179 and 48,597 is: 106,482.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,179 : 48,597 = 48,597 : x
  2. Step 2: Convert to fraction form
    22,179/48,597 = 48,597/x
  3. Step 3: Cross multiply
    22,179x = 48,597 × 48,597
  4. Step 4: Simplify right side
    22,179x = 2,361,668,409
  5. Step 5: Solve for x
    x = 2,361,668,409/22,179
  6. Step 6: Final answer
    x = 106,482.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.