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Finding the Third Proportional to 20,972.25 and 45,052.88

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Solution

The third proportional to 20,972.25 and 45,052.88 is: 96,783.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,972.25 : 45,052.88 = 45,052.88 : x
  2. Step 2: Convert to fraction form
    20,972.25/45,052.88 = 45,052.88/x
  3. Step 3: Cross multiply
    20,972.25x = 45,052.88 × 45,052.88
  4. Step 4: Simplify right side
    20,972.25x = 2,029,761,545.77
  5. Step 5: Solve for x
    x = 2,029,761,545.77/20,972.25
  6. Step 6: Final answer
    x = 96,783.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.