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Finding the Third Proportional to 6,925.50 and 10,081.13

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Solution

The third proportional to 6,925.50 and 10,081.13 is: 14,674.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,925.50 : 10,081.13 = 10,081.13 : x
  2. Step 2: Convert to fraction form
    6,925.50/10,081.13 = 10,081.13/x
  3. Step 3: Cross multiply
    6,925.50x = 10,081.13 × 10,081.13
  4. Step 4: Simplify right side
    6,925.50x = 101,629,081.27
  5. Step 5: Solve for x
    x = 101,629,081.27/6,925.50
  6. Step 6: Final answer
    x = 14,674.62

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.