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Finding the Third Proportional to 3,348.56 and 7,292.38

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Solution

The third proportional to 3,348.56 and 7,292.38 is: 15,881.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,348.56 : 7,292.38 = 7,292.38 : x
  2. Step 2: Convert to fraction form
    3,348.56/7,292.38 = 7,292.38/x
  3. Step 3: Cross multiply
    3,348.56x = 7,292.38 × 7,292.38
  4. Step 4: Simplify right side
    3,348.56x = 53,178,733.14
  5. Step 5: Solve for x
    x = 53,178,733.14/3,348.56
  6. Step 6: Final answer
    x = 15,881.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.