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Finding the Third Proportional to 4,248.94 and 9,180.19

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Solution

The third proportional to 4,248.94 and 9,180.19 is: 19,834.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,248.94 : 9,180.19 = 9,180.19 : x
  2. Step 2: Convert to fraction form
    4,248.94/9,180.19 = 9,180.19/x
  3. Step 3: Cross multiply
    4,248.94x = 9,180.19 × 9,180.19
  4. Step 4: Simplify right side
    4,248.94x = 84,275,842.54
  5. Step 5: Solve for x
    x = 84,275,842.54/4,248.94
  6. Step 6: Final answer
    x = 19,834.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.