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Finding the Third Proportional to 3,266.72 and 7,158.94

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Solution

The third proportional to 3,266.72 and 7,158.94 is: 15,688.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.72 : 7,158.94 = 7,158.94 : x
  2. Step 2: Convert to fraction form
    3,266.72/7,158.94 = 7,158.94/x
  3. Step 3: Cross multiply
    3,266.72x = 7,158.94 × 7,158.94
  4. Step 4: Simplify right side
    3,266.72x = 51,250,386.13
  5. Step 5: Solve for x
    x = 51,250,386.13/3,266.72
  6. Step 6: Final answer
    x = 15,688.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.