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Finding the Third Proportional to 10,885.19 and 16,285.56

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Solution

The third proportional to 10,885.19 and 16,285.56 is: 24,365.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,885.19 : 16,285.56 = 16,285.56 : x
  2. Step 2: Convert to fraction form
    10,885.19/16,285.56 = 16,285.56/x
  3. Step 3: Cross multiply
    10,885.19x = 16,285.56 × 16,285.56
  4. Step 4: Simplify right side
    10,885.19x = 265,219,545.94
  5. Step 5: Solve for x
    x = 265,219,545.94/10,885.19
  6. Step 6: Final answer
    x = 24,365.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.