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Finding the Third Proportional to 45,687.80 and 73,008.21

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Solution

The third proportional to 45,687.80 and 73,008.21 is: 116,665.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,687.80 : 73,008.21 = 73,008.21 : x
  2. Step 2: Convert to fraction form
    45,687.80/73,008.21 = 73,008.21/x
  3. Step 3: Cross multiply
    45,687.80x = 73,008.21 × 73,008.21
  4. Step 4: Simplify right side
    45,687.80x = 5,330,198,864.29
  5. Step 5: Solve for x
    x = 5,330,198,864.29/45,687.80
  6. Step 6: Final answer
    x = 116,665.70

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.