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Finding the Third Proportional to 5,167.55 and 7,083.07

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Solution

The third proportional to 5,167.55 and 7,083.07 is: 9,708.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.55 : 7,083.07 = 7,083.07 : x
  2. Step 2: Convert to fraction form
    5,167.55/7,083.07 = 7,083.07/x
  3. Step 3: Cross multiply
    5,167.55x = 7,083.07 × 7,083.07
  4. Step 4: Simplify right side
    5,167.55x = 50,169,885.05
  5. Step 5: Solve for x
    x = 50,169,885.05/5,167.55
  6. Step 6: Final answer
    x = 9,708.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.