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Finding the Third Proportional to 962.03 and 2,118.18

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Solution

The third proportional to 962.03 and 2,118.18 is: 4,663.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.03 : 2,118.18 = 2,118.18 : x
  2. Step 2: Convert to fraction form
    962.03/2,118.18 = 2,118.18/x
  3. Step 3: Cross multiply
    962.03x = 2,118.18 × 2,118.18
  4. Step 4: Simplify right side
    962.03x = 4,486,693.46
  5. Step 5: Solve for x
    x = 4,486,693.46/962.03
  6. Step 6: Final answer
    x = 4,663.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.