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Finding the Third Proportional to 18,261 and 38,875.50

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Solution

The third proportional to 18,261 and 38,875.50 is: 82,761.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,261 : 38,875.50 = 38,875.50 : x
  2. Step 2: Convert to fraction form
    18,261/38,875.50 = 38,875.50/x
  3. Step 3: Cross multiply
    18,261x = 38,875.50 × 38,875.50
  4. Step 4: Simplify right side
    18,261x = 1,511,304,500.25
  5. Step 5: Solve for x
    x = 1,511,304,500.25/18,261
  6. Step 6: Final answer
    x = 82,761.32

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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.