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Finding the Third Proportional to 1,115.94 and 1,594.22

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Solution

The third proportional to 1,115.94 and 1,594.22 is: 2,277.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.94 : 1,594.22 = 1,594.22 : x
  2. Step 2: Convert to fraction form
    1,115.94/1,594.22 = 1,594.22/x
  3. Step 3: Cross multiply
    1,115.94x = 1,594.22 × 1,594.22
  4. Step 4: Simplify right side
    1,115.94x = 2,541,533.42
  5. Step 5: Solve for x
    x = 2,541,533.42/1,115.94
  6. Step 6: Final answer
    x = 2,277.49

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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.