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Finding the Third Proportional to 3,068.09 and 4,866.12

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Solution

The third proportional to 3,068.09 and 4,866.12 is: 7,717.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068.09 : 4,866.12 = 4,866.12 : x
  2. Step 2: Convert to fraction form
    3,068.09/4,866.12 = 4,866.12/x
  3. Step 3: Cross multiply
    3,068.09x = 4,866.12 × 4,866.12
  4. Step 4: Simplify right side
    3,068.09x = 23,679,096.48
  5. Step 5: Solve for x
    x = 23,679,096.48/3,068.09
  6. Step 6: Final answer
    x = 7,717.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.