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Finding the Third Proportional to 978.75 and 2,027.06

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Solution

The third proportional to 978.75 and 2,027.06 is: 4,198.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.75 : 2,027.06 = 2,027.06 : x
  2. Step 2: Convert to fraction form
    978.75/2,027.06 = 2,027.06/x
  3. Step 3: Cross multiply
    978.75x = 2,027.06 × 2,027.06
  4. Step 4: Simplify right side
    978.75x = 4,108,982.38
  5. Step 5: Solve for x
    x = 4,108,982.38/978.75
  6. Step 6: Final answer
    x = 4,198.19

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.