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Finding the Third Proportional to 38,050 and 81,020

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Solution

The third proportional to 38,050 and 81,020 is: 172,516.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,050 : 81,020 = 81,020 : x
  2. Step 2: Convert to fraction form
    38,050/81,020 = 81,020/x
  3. Step 3: Cross multiply
    38,050x = 81,020 × 81,020
  4. Step 4: Simplify right side
    38,050x = 6,564,240,400
  5. Step 5: Solve for x
    x = 6,564,240,400/38,050
  6. Step 6: Final answer
    x = 172,516.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.