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Finding the Third Proportional to 5,094.69 and 7,952.79

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Solution

The third proportional to 5,094.69 and 7,952.79 is: 12,414.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,094.69 : 7,952.79 = 7,952.79 : x
  2. Step 2: Convert to fraction form
    5,094.69/7,952.79 = 7,952.79/x
  3. Step 3: Cross multiply
    5,094.69x = 7,952.79 × 7,952.79
  4. Step 4: Simplify right side
    5,094.69x = 63,246,900.47
  5. Step 5: Solve for x
    x = 63,246,900.47/5,094.69
  6. Step 6: Final answer
    x = 12,414.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.