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Finding the Third Proportional to 23,344.50 and 30,642

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Solution

The third proportional to 23,344.50 and 30,642 is: 40,220.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,344.50 : 30,642 = 30,642 : x
  2. Step 2: Convert to fraction form
    23,344.50/30,642 = 30,642/x
  3. Step 3: Cross multiply
    23,344.50x = 30,642 × 30,642
  4. Step 4: Simplify right side
    23,344.50x = 938,932,164
  5. Step 5: Solve for x
    x = 938,932,164/23,344.50
  6. Step 6: Final answer
    x = 40,220.70

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.