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Finding the Third Proportional to 442.13 and 962.16

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Solution

The third proportional to 442.13 and 962.16 is: 2,093.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.13 : 962.16 = 962.16 : x
  2. Step 2: Convert to fraction form
    442.13/962.16 = 962.16/x
  3. Step 3: Cross multiply
    442.13x = 962.16 × 962.16
  4. Step 4: Simplify right side
    442.13x = 925,744.65
  5. Step 5: Solve for x
    x = 925,744.65/442.13
  6. Step 6: Final answer
    x = 2,093.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.