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Finding the Third Proportional to 1,109.32 and 1,661.13

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Solution

The third proportional to 1,109.32 and 1,661.13 is: 2,487.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.32 : 1,661.13 = 1,661.13 : x
  2. Step 2: Convert to fraction form
    1,109.32/1,661.13 = 1,661.13/x
  3. Step 3: Cross multiply
    1,109.32x = 1,661.13 × 1,661.13
  4. Step 4: Simplify right side
    1,109.32x = 2,759,362.22
  5. Step 5: Solve for x
    x = 2,759,362.22/1,109.32
  6. Step 6: Final answer
    x = 2,487.44

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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.