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Finding the Third Proportional to 13,531.50 and 24,133.50

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Solution

The third proportional to 13,531.50 and 24,133.50 is: 43,042.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,531.50 : 24,133.50 = 24,133.50 : x
  2. Step 2: Convert to fraction form
    13,531.50/24,133.50 = 24,133.50/x
  3. Step 3: Cross multiply
    13,531.50x = 24,133.50 × 24,133.50
  4. Step 4: Simplify right side
    13,531.50x = 582,425,822.25
  5. Step 5: Solve for x
    x = 582,425,822.25/13,531.50
  6. Step 6: Final answer
    x = 43,042.22

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.