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Finding the Third Proportional to 5,670 and 9,087.19

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Solution

The third proportional to 5,670 and 9,087.19 is: 14,563.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670 : 9,087.19 = 9,087.19 : x
  2. Step 2: Convert to fraction form
    5,670/9,087.19 = 9,087.19/x
  3. Step 3: Cross multiply
    5,670x = 9,087.19 × 9,087.19
  4. Step 4: Simplify right side
    5,670x = 82,576,976.66
  5. Step 5: Solve for x
    x = 82,576,976.66/5,670
  6. Step 6: Final answer
    x = 14,563.84

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.