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Finding the Third Proportional to 8,443.13 and 19,545.94

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Solution

The third proportional to 8,443.13 and 19,545.94 is: 45,249.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,443.13 : 19,545.94 = 19,545.94 : x
  2. Step 2: Convert to fraction form
    8,443.13/19,545.94 = 19,545.94/x
  3. Step 3: Cross multiply
    8,443.13x = 19,545.94 × 19,545.94
  4. Step 4: Simplify right side
    8,443.13x = 382,043,672.75
  5. Step 5: Solve for x
    x = 382,043,672.75/8,443.13
  6. Step 6: Final answer
    x = 45,249.08

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.