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Finding the Third Proportional to 19,195 and 41,534

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Solution

The third proportional to 19,195 and 41,534 is: 89,870.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,195 : 41,534 = 41,534 : x
  2. Step 2: Convert to fraction form
    19,195/41,534 = 41,534/x
  3. Step 3: Cross multiply
    19,195x = 41,534 × 41,534
  4. Step 4: Simplify right side
    19,195x = 1,725,073,156
  5. Step 5: Solve for x
    x = 1,725,073,156/19,195
  6. Step 6: Final answer
    x = 89,870.96

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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.