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Finding the Third Proportional to 30,446.25 and 45,545.25

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Solution

The third proportional to 30,446.25 and 45,545.25 is: 68,132.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,446.25 : 45,545.25 = 45,545.25 : x
  2. Step 2: Convert to fraction form
    30,446.25/45,545.25 = 45,545.25/x
  3. Step 3: Cross multiply
    30,446.25x = 45,545.25 × 45,545.25
  4. Step 4: Simplify right side
    30,446.25x = 2,074,369,797.56
  5. Step 5: Solve for x
    x = 2,074,369,797.56/30,446.25
  6. Step 6: Final answer
    x = 68,132.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.