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Finding the Third Proportional to 3,084.94 and 4,967.81

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Solution

The third proportional to 3,084.94 and 4,967.81 is: 7,999.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.94 : 4,967.81 = 4,967.81 : x
  2. Step 2: Convert to fraction form
    3,084.94/4,967.81 = 4,967.81/x
  3. Step 3: Cross multiply
    3,084.94x = 4,967.81 × 4,967.81
  4. Step 4: Simplify right side
    3,084.94x = 24,679,161.04
  5. Step 5: Solve for x
    x = 24,679,161.04/3,084.94
  6. Step 6: Final answer
    x = 7,999.89

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.