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Finding the Third Proportional to 11,717.16 and 25,385.91

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Solution

The third proportional to 11,717.16 and 25,385.91 is: 55,000.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,717.16 : 25,385.91 = 25,385.91 : x
  2. Step 2: Convert to fraction form
    11,717.16/25,385.91 = 25,385.91/x
  3. Step 3: Cross multiply
    11,717.16x = 25,385.91 × 25,385.91
  4. Step 4: Simplify right side
    11,717.16x = 644,444,236.13
  5. Step 5: Solve for x
    x = 644,444,236.13/11,717.16
  6. Step 6: Final answer
    x = 55,000.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.