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Finding the Third Proportional to 1,352.06 and 1,975.78

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Solution

The third proportional to 1,352.06 and 1,975.78 is: 2,887.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.06 : 1,975.78 = 1,975.78 : x
  2. Step 2: Convert to fraction form
    1,352.06/1,975.78 = 1,975.78/x
  3. Step 3: Cross multiply
    1,352.06x = 1,975.78 × 1,975.78
  4. Step 4: Simplify right side
    1,352.06x = 3,903,711.55
  5. Step 5: Solve for x
    x = 3,903,711.55/1,352.06
  6. Step 6: Final answer
    x = 2,887.23

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