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Finding the Third Proportional to 5,904.14 and 8,861.91

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Solution

The third proportional to 5,904.14 and 8,861.91 is: 13,301.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,904.14 : 8,861.91 = 8,861.91 : x
  2. Step 2: Convert to fraction form
    5,904.14/8,861.91 = 8,861.91/x
  3. Step 3: Cross multiply
    5,904.14x = 8,861.91 × 8,861.91
  4. Step 4: Simplify right side
    5,904.14x = 78,533,382.38
  5. Step 5: Solve for x
    x = 78,533,382.38/5,904.14
  6. Step 6: Final answer
    x = 13,301.41

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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.