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Finding the Third Proportional to 4,395 and 5,966.25

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Solution

The third proportional to 4,395 and 5,966.25 is: 8,099.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,395 : 5,966.25 = 5,966.25 : x
  2. Step 2: Convert to fraction form
    4,395/5,966.25 = 5,966.25/x
  3. Step 3: Cross multiply
    4,395x = 5,966.25 × 5,966.25
  4. Step 4: Simplify right side
    4,395x = 35,596,139.06
  5. Step 5: Solve for x
    x = 35,596,139.06/4,395
  6. Step 6: Final answer
    x = 8,099.24

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.