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Finding the Third Proportional to 16,552 and 23,153

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Solution

The third proportional to 16,552 and 23,153 is: 32,386.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,552 : 23,153 = 23,153 : x
  2. Step 2: Convert to fraction form
    16,552/23,153 = 23,153/x
  3. Step 3: Cross multiply
    16,552x = 23,153 × 23,153
  4. Step 4: Simplify right side
    16,552x = 536,061,409
  5. Step 5: Solve for x
    x = 536,061,409/16,552
  6. Step 6: Final answer
    x = 32,386.50

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.