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Finding the Third Proportional to 3,081.16 and 4,934.67

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Solution

The third proportional to 3,081.16 and 4,934.67 is: 7,903.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,081.16 : 4,934.67 = 4,934.67 : x
  2. Step 2: Convert to fraction form
    3,081.16/4,934.67 = 4,934.67/x
  3. Step 3: Cross multiply
    3,081.16x = 4,934.67 × 4,934.67
  4. Step 4: Simplify right side
    3,081.16x = 24,350,986.51
  5. Step 5: Solve for x
    x = 24,350,986.51/3,081.16
  6. Step 6: Final answer
    x = 7,903.18

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.