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Finding the Third Proportional to 11,296.13 and 17,237.81

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Solution

The third proportional to 11,296.13 and 17,237.81 is: 26,304.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,296.13 : 17,237.81 = 17,237.81 : x
  2. Step 2: Convert to fraction form
    11,296.13/17,237.81 = 17,237.81/x
  3. Step 3: Cross multiply
    11,296.13x = 17,237.81 × 17,237.81
  4. Step 4: Simplify right side
    11,296.13x = 297,142,179.79
  5. Step 5: Solve for x
    x = 297,142,179.79/11,296.13
  6. Step 6: Final answer
    x = 26,304.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.