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Finding the Third Proportional to 10,861.59 and 16,094.95

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Solution

The third proportional to 10,861.59 and 16,094.95 is: 23,849.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,861.59 : 16,094.95 = 16,094.95 : x
  2. Step 2: Convert to fraction form
    10,861.59/16,094.95 = 16,094.95/x
  3. Step 3: Cross multiply
    10,861.59x = 16,094.95 × 16,094.95
  4. Step 4: Simplify right side
    10,861.59x = 259,047,516.10
  5. Step 5: Solve for x
    x = 259,047,516.10/10,861.59
  6. Step 6: Final answer
    x = 23,849.86

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.