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Finding the Third Proportional to 13,552 and 32,816

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Solution

The third proportional to 13,552 and 32,816 is: 79,463.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,552 : 32,816 = 32,816 : x
  2. Step 2: Convert to fraction form
    13,552/32,816 = 32,816/x
  3. Step 3: Cross multiply
    13,552x = 32,816 × 32,816
  4. Step 4: Simplify right side
    13,552x = 1,076,889,856
  5. Step 5: Solve for x
    x = 1,076,889,856/13,552
  6. Step 6: Final answer
    x = 79,463.54

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.