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Finding the Third Proportional to 1,193.17 and 1,352.64

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Solution

The third proportional to 1,193.17 and 1,352.64 is: 1,533.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.17 : 1,352.64 = 1,352.64 : x
  2. Step 2: Convert to fraction form
    1,193.17/1,352.64 = 1,352.64/x
  3. Step 3: Cross multiply
    1,193.17x = 1,352.64 × 1,352.64
  4. Step 4: Simplify right side
    1,193.17x = 1,829,626.09
  5. Step 5: Solve for x
    x = 1,829,626.09/1,193.17
  6. Step 6: Final answer
    x = 1,533.42

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.