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Finding the Third Proportional to 5,293.86 and 7,794.14

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Solution

The third proportional to 5,293.86 and 7,794.14 is: 11,475.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.86 : 7,794.14 = 7,794.14 : x
  2. Step 2: Convert to fraction form
    5,293.86/7,794.14 = 7,794.14/x
  3. Step 3: Cross multiply
    5,293.86x = 7,794.14 × 7,794.14
  4. Step 4: Simplify right side
    5,293.86x = 60,748,628.08
  5. Step 5: Solve for x
    x = 60,748,628.08/5,293.86
  6. Step 6: Final answer
    x = 11,475.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.