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Finding the Third Proportional to 22,387.50 and 47,079

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Solution

The third proportional to 22,387.50 and 47,079 is: 99,003.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,387.50 : 47,079 = 47,079 : x
  2. Step 2: Convert to fraction form
    22,387.50/47,079 = 47,079/x
  3. Step 3: Cross multiply
    22,387.50x = 47,079 × 47,079
  4. Step 4: Simplify right side
    22,387.50x = 2,216,432,241
  5. Step 5: Solve for x
    x = 2,216,432,241/22,387.50
  6. Step 6: Final answer
    x = 99,003.12

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.