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Finding the Third Proportional to 3,292 and 7,038

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Solution

The third proportional to 3,292 and 7,038 is: 15,046.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,292 : 7,038 = 7,038 : x
  2. Step 2: Convert to fraction form
    3,292/7,038 = 7,038/x
  3. Step 3: Cross multiply
    3,292x = 7,038 × 7,038
  4. Step 4: Simplify right side
    3,292x = 49,533,444
  5. Step 5: Solve for x
    x = 49,533,444/3,292
  6. Step 6: Final answer
    x = 15,046.61

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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.