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Finding the Third Proportional to 5,286.52 and 7,390.62

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Solution

The third proportional to 5,286.52 and 7,390.62 is: 10,332.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.52 : 7,390.62 = 7,390.62 : x
  2. Step 2: Convert to fraction form
    5,286.52/7,390.62 = 7,390.62/x
  3. Step 3: Cross multiply
    5,286.52x = 7,390.62 × 7,390.62
  4. Step 4: Simplify right side
    5,286.52x = 54,621,222.41
  5. Step 5: Solve for x
    x = 54,621,222.41/5,286.52
  6. Step 6: Final answer
    x = 10,332.18

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.