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Finding the Third Proportional to 16,342.50 and 23,013.75

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Solution

The third proportional to 16,342.50 and 23,013.75 is: 32,408.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,342.50 : 23,013.75 = 23,013.75 : x
  2. Step 2: Convert to fraction form
    16,342.50/23,013.75 = 23,013.75/x
  3. Step 3: Cross multiply
    16,342.50x = 23,013.75 × 23,013.75
  4. Step 4: Simplify right side
    16,342.50x = 529,632,689.06
  5. Step 5: Solve for x
    x = 529,632,689.06/16,342.50
  6. Step 6: Final answer
    x = 32,408.30

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.