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Finding the Third Proportional to 979.59 and 2,369.25

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Solution

The third proportional to 979.59 and 2,369.25 is: 5,730.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.59 : 2,369.25 = 2,369.25 : x
  2. Step 2: Convert to fraction form
    979.59/2,369.25 = 2,369.25/x
  3. Step 3: Cross multiply
    979.59x = 2,369.25 × 2,369.25
  4. Step 4: Simplify right side
    979.59x = 5,613,345.56
  5. Step 5: Solve for x
    x = 5,613,345.56/979.59
  6. Step 6: Final answer
    x = 5,730.28

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.