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Finding the Third Proportional to 1,352.11 and 1,975.64

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Solution

The third proportional to 1,352.11 and 1,975.64 is: 2,886.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.11 : 1,975.64 = 1,975.64 : x
  2. Step 2: Convert to fraction form
    1,352.11/1,975.64 = 1,975.64/x
  3. Step 3: Cross multiply
    1,352.11x = 1,975.64 × 1,975.64
  4. Step 4: Simplify right side
    1,352.11x = 3,903,155.88
  5. Step 5: Solve for x
    x = 3,903,155.88/1,352.11
  6. Step 6: Final answer
    x = 2,886.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.