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Finding the Third Proportional to 4,305.66 and 6,266.27

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Solution

The third proportional to 4,305.66 and 6,266.27 is: 9,119.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,305.66 : 6,266.27 = 6,266.27 : x
  2. Step 2: Convert to fraction form
    4,305.66/6,266.27 = 6,266.27/x
  3. Step 3: Cross multiply
    4,305.66x = 6,266.27 × 6,266.27
  4. Step 4: Simplify right side
    4,305.66x = 39,266,109.36
  5. Step 5: Solve for x
    x = 39,266,109.36/4,305.66
  6. Step 6: Final answer
    x = 9,119.66

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Why These Related Problems?

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