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Finding the Third Proportional to 1,167.54 and 2,466.07

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Solution

The third proportional to 1,167.54 and 2,466.07 is: 5,208.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.54 : 2,466.07 = 2,466.07 : x
  2. Step 2: Convert to fraction form
    1,167.54/2,466.07 = 2,466.07/x
  3. Step 3: Cross multiply
    1,167.54x = 2,466.07 × 2,466.07
  4. Step 4: Simplify right side
    1,167.54x = 6,081,502.79
  5. Step 5: Solve for x
    x = 6,081,502.79/1,167.54
  6. Step 6: Final answer
    x = 5,208.82

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.