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Finding the Third Proportional to 38,098 and 83,576

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Solution

The third proportional to 38,098 and 83,576 is: 183,341.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,098 : 83,576 = 83,576 : x
  2. Step 2: Convert to fraction form
    38,098/83,576 = 83,576/x
  3. Step 3: Cross multiply
    38,098x = 83,576 × 83,576
  4. Step 4: Simplify right side
    38,098x = 6,984,947,776
  5. Step 5: Solve for x
    x = 6,984,947,776/38,098
  6. Step 6: Final answer
    x = 183,341.59

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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.