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Finding the Third Proportional to 23,916 and 32,830

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Solution

The third proportional to 23,916 and 32,830 is: 45,066.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,916 : 32,830 = 32,830 : x
  2. Step 2: Convert to fraction form
    23,916/32,830 = 32,830/x
  3. Step 3: Cross multiply
    23,916x = 32,830 × 32,830
  4. Step 4: Simplify right side
    23,916x = 1,077,808,900
  5. Step 5: Solve for x
    x = 1,077,808,900/23,916
  6. Step 6: Final answer
    x = 45,066.44

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.