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Finding the Third Proportional to 5,114.39 and 7,676.65

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Solution

The third proportional to 5,114.39 and 7,676.65 is: 11,522.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.39 : 7,676.65 = 7,676.65 : x
  2. Step 2: Convert to fraction form
    5,114.39/7,676.65 = 7,676.65/x
  3. Step 3: Cross multiply
    5,114.39x = 7,676.65 × 7,676.65
  4. Step 4: Simplify right side
    5,114.39x = 58,930,931.23
  5. Step 5: Solve for x
    x = 58,930,931.23/5,114.39
  6. Step 6: Final answer
    x = 11,522.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.