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Finding the Third Proportional to 10,732.92 and 16,418.95

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Solution

The third proportional to 10,732.92 and 16,418.95 is: 25,117.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,732.92 : 16,418.95 = 16,418.95 : x
  2. Step 2: Convert to fraction form
    10,732.92/16,418.95 = 16,418.95/x
  3. Step 3: Cross multiply
    10,732.92x = 16,418.95 × 16,418.95
  4. Step 4: Simplify right side
    10,732.92x = 269,582,021.72
  5. Step 5: Solve for x
    x = 269,582,021.72/10,732.92
  6. Step 6: Final answer
    x = 25,117.30

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.