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Finding the Third Proportional to 18,120 and 38,210

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Solution

The third proportional to 18,120 and 38,210 is: 80,574.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,120 : 38,210 = 38,210 : x
  2. Step 2: Convert to fraction form
    18,120/38,210 = 38,210/x
  3. Step 3: Cross multiply
    18,120x = 38,210 × 38,210
  4. Step 4: Simplify right side
    18,120x = 1,460,004,100
  5. Step 5: Solve for x
    x = 1,460,004,100/18,120
  6. Step 6: Final answer
    x = 80,574.18

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.