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Finding the Third Proportional to 24,117.75 and 36,131.06

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Solution

The third proportional to 24,117.75 and 36,131.06 is: 54,128.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,117.75 : 36,131.06 = 36,131.06 : x
  2. Step 2: Convert to fraction form
    24,117.75/36,131.06 = 36,131.06/x
  3. Step 3: Cross multiply
    24,117.75x = 36,131.06 × 36,131.06
  4. Step 4: Simplify right side
    24,117.75x = 1,305,453,677.38
  5. Step 5: Solve for x
    x = 1,305,453,677.38/24,117.75
  6. Step 6: Final answer
    x = 54,128.34

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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.