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Finding the Third Proportional to 1,106.16 and 1,661.77

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Solution

The third proportional to 1,106.16 and 1,661.77 is: 2,496.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.16 : 1,661.77 = 1,661.77 : x
  2. Step 2: Convert to fraction form
    1,106.16/1,661.77 = 1,661.77/x
  3. Step 3: Cross multiply
    1,106.16x = 1,661.77 × 1,661.77
  4. Step 4: Simplify right side
    1,106.16x = 2,761,464.99
  5. Step 5: Solve for x
    x = 2,761,464.99/1,106.16
  6. Step 6: Final answer
    x = 2,496.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.