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Finding the Third Proportional to 661.92 and 1,166.06

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Solution

The third proportional to 661.92 and 1,166.06 is: 2,054.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.92 : 1,166.06 = 1,166.06 : x
  2. Step 2: Convert to fraction form
    661.92/1,166.06 = 1,166.06/x
  3. Step 3: Cross multiply
    661.92x = 1,166.06 × 1,166.06
  4. Step 4: Simplify right side
    661.92x = 1,359,701.75
  5. Step 5: Solve for x
    x = 1,359,701.75/661.92
  6. Step 6: Final answer
    x = 2,054.17

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.