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Finding the Third Proportional to 7,246.97 and 10,338.89

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Solution

The third proportional to 7,246.97 and 10,338.89 is: 14,749.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,246.97 : 10,338.89 = 10,338.89 : x
  2. Step 2: Convert to fraction form
    7,246.97/10,338.89 = 10,338.89/x
  3. Step 3: Cross multiply
    7,246.97x = 10,338.89 × 10,338.89
  4. Step 4: Simplify right side
    7,246.97x = 106,892,659.36
  5. Step 5: Solve for x
    x = 106,892,659.36/7,246.97
  6. Step 6: Final answer
    x = 14,749.98

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.