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Finding the Third Proportional to 10,369.13 and 16,081.88

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Solution

The third proportional to 10,369.13 and 16,081.88 is: 24,942.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,369.13 : 16,081.88 = 16,081.88 : x
  2. Step 2: Convert to fraction form
    10,369.13/16,081.88 = 16,081.88/x
  3. Step 3: Cross multiply
    10,369.13x = 16,081.88 × 16,081.88
  4. Step 4: Simplify right side
    10,369.13x = 258,626,703.52
  5. Step 5: Solve for x
    x = 258,626,703.52/10,369.13
  6. Step 6: Final answer
    x = 24,942.00

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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.