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Finding the Third Proportional to 3,292.13 and 7,045.59

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Solution

The third proportional to 3,292.13 and 7,045.59 is: 15,078.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,292.13 : 7,045.59 = 7,045.59 : x
  2. Step 2: Convert to fraction form
    3,292.13/7,045.59 = 7,045.59/x
  3. Step 3: Cross multiply
    3,292.13x = 7,045.59 × 7,045.59
  4. Step 4: Simplify right side
    3,292.13x = 49,640,391.29
  5. Step 5: Solve for x
    x = 49,640,391.29/3,292.13
  6. Step 6: Final answer
    x = 15,078.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.