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Finding the Third Proportional to 958.08 and 2,016.14

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Solution

The third proportional to 958.08 and 2,016.14 is: 4,242.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.08 : 2,016.14 = 2,016.14 : x
  2. Step 2: Convert to fraction form
    958.08/2,016.14 = 2,016.14/x
  3. Step 3: Cross multiply
    958.08x = 2,016.14 × 2,016.14
  4. Step 4: Simplify right side
    958.08x = 4,064,823.02
  5. Step 5: Solve for x
    x = 4,064,823.02/958.08
  6. Step 6: Final answer
    x = 4,242.68

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.