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Finding the Third Proportional to 5,366.25 and 5,882.63

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Solution

The third proportional to 5,366.25 and 5,882.63 is: 6,448.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,366.25 : 5,882.63 = 5,882.63 : x
  2. Step 2: Convert to fraction form
    5,366.25/5,882.63 = 5,882.63/x
  3. Step 3: Cross multiply
    5,366.25x = 5,882.63 × 5,882.63
  4. Step 4: Simplify right side
    5,366.25x = 34,605,276.89
  5. Step 5: Solve for x
    x = 34,605,276.89/5,366.25
  6. Step 6: Final answer
    x = 6,448.69

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.