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Finding the Third Proportional to 3,162.16 and 5,423.84

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Solution

The third proportional to 3,162.16 and 5,423.84 is: 9,303.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.16 : 5,423.84 = 5,423.84 : x
  2. Step 2: Convert to fraction form
    3,162.16/5,423.84 = 5,423.84/x
  3. Step 3: Cross multiply
    3,162.16x = 5,423.84 × 5,423.84
  4. Step 4: Simplify right side
    3,162.16x = 29,417,996.28
  5. Step 5: Solve for x
    x = 29,417,996.28/3,162.16
  6. Step 6: Final answer
    x = 9,303.12

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.