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Finding the Third Proportional to 9,585.84 and 20,341.13

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Solution

The third proportional to 9,585.84 and 20,341.13 is: 43,163.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.84 : 20,341.13 = 20,341.13 : x
  2. Step 2: Convert to fraction form
    9,585.84/20,341.13 = 20,341.13/x
  3. Step 3: Cross multiply
    9,585.84x = 20,341.13 × 20,341.13
  4. Step 4: Simplify right side
    9,585.84x = 413,761,366.27
  5. Step 5: Solve for x
    x = 413,761,366.27/9,585.84
  6. Step 6: Final answer
    x = 43,163.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.