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Finding the Third Proportional to 5,174.16 and 11,288.53

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Solution

The third proportional to 5,174.16 and 11,288.53 is: 24,628.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.16 : 11,288.53 = 11,288.53 : x
  2. Step 2: Convert to fraction form
    5,174.16/11,288.53 = 11,288.53/x
  3. Step 3: Cross multiply
    5,174.16x = 11,288.53 × 11,288.53
  4. Step 4: Simplify right side
    5,174.16x = 127,430,937.78
  5. Step 5: Solve for x
    x = 127,430,937.78/5,174.16
  6. Step 6: Final answer
    x = 24,628.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.