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Finding the Third Proportional to 978 and 2,097.75

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Solution

The third proportional to 978 and 2,097.75 is: 4,499.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    978 : 2,097.75 = 2,097.75 : x
  2. Step 2: Convert to fraction form
    978/2,097.75 = 2,097.75/x
  3. Step 3: Cross multiply
    978x = 2,097.75 × 2,097.75
  4. Step 4: Simplify right side
    978x = 4,400,555.06
  5. Step 5: Solve for x
    x = 4,400,555.06/978
  6. Step 6: Final answer
    x = 4,499.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.