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Finding the Third Proportional to 38,911 and 83,006

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Solution

The third proportional to 38,911 and 83,006 is: 177,070.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,911 : 83,006 = 83,006 : x
  2. Step 2: Convert to fraction form
    38,911/83,006 = 83,006/x
  3. Step 3: Cross multiply
    38,911x = 83,006 × 83,006
  4. Step 4: Simplify right side
    38,911x = 6,889,996,036
  5. Step 5: Solve for x
    x = 6,889,996,036/38,911
  6. Step 6: Final answer
    x = 177,070.65

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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.