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Finding the Third Proportional to 5,887.69 and 9,170.72

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Solution

The third proportional to 5,887.69 and 9,170.72 is: 14,284.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,887.69 : 9,170.72 = 9,170.72 : x
  2. Step 2: Convert to fraction form
    5,887.69/9,170.72 = 9,170.72/x
  3. Step 3: Cross multiply
    5,887.69x = 9,170.72 × 9,170.72
  4. Step 4: Simplify right side
    5,887.69x = 84,102,082.39
  5. Step 5: Solve for x
    x = 84,102,082.39/5,887.69
  6. Step 6: Final answer
    x = 14,284.40

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.