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Finding the Third Proportional to 10,436.50 and 16,162.13

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Solution

The third proportional to 10,436.50 and 16,162.13 is: 25,028.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,436.50 : 16,162.13 = 16,162.13 : x
  2. Step 2: Convert to fraction form
    10,436.50/16,162.13 = 16,162.13/x
  3. Step 3: Cross multiply
    10,436.50x = 16,162.13 × 16,162.13
  4. Step 4: Simplify right side
    10,436.50x = 261,214,284.52
  5. Step 5: Solve for x
    x = 261,214,284.52/10,436.50
  6. Step 6: Final answer
    x = 25,028.92

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.