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Finding the Third Proportional to 5,147.30 and 11,088.14

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Solution

The third proportional to 5,147.30 and 11,088.14 is: 23,885.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.30 : 11,088.14 = 11,088.14 : x
  2. Step 2: Convert to fraction form
    5,147.30/11,088.14 = 11,088.14/x
  3. Step 3: Cross multiply
    5,147.30x = 11,088.14 × 11,088.14
  4. Step 4: Simplify right side
    5,147.30x = 122,946,862.52
  5. Step 5: Solve for x
    x = 122,946,862.52/5,147.30
  6. Step 6: Final answer
    x = 23,885.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.