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Finding the Third Proportional to 1,115.81 and 1,594.03

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Solution

The third proportional to 1,115.81 and 1,594.03 is: 2,277.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.81 : 1,594.03 = 1,594.03 : x
  2. Step 2: Convert to fraction form
    1,115.81/1,594.03 = 1,594.03/x
  3. Step 3: Cross multiply
    1,115.81x = 1,594.03 × 1,594.03
  4. Step 4: Simplify right side
    1,115.81x = 2,540,935.63
  5. Step 5: Solve for x
    x = 2,540,935.63/1,115.81
  6. Step 6: Final answer
    x = 2,277.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.