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Finding the Third Proportional to 7,279.73 and 15,749.58

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Solution

The third proportional to 7,279.73 and 15,749.58 is: 34,073.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,279.73 : 15,749.58 = 15,749.58 : x
  2. Step 2: Convert to fraction form
    7,279.73/15,749.58 = 15,749.58/x
  3. Step 3: Cross multiply
    7,279.73x = 15,749.58 × 15,749.58
  4. Step 4: Simplify right side
    7,279.73x = 248,049,211.12
  5. Step 5: Solve for x
    x = 248,049,211.12/7,279.73
  6. Step 6: Final answer
    x = 34,073.94

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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.