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Finding the Third Proportional to 1,975.38 and 2,650.63

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Solution

The third proportional to 1,975.38 and 2,650.63 is: 3,556.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.38 : 2,650.63 = 2,650.63 : x
  2. Step 2: Convert to fraction form
    1,975.38/2,650.63 = 2,650.63/x
  3. Step 3: Cross multiply
    1,975.38x = 2,650.63 × 2,650.63
  4. Step 4: Simplify right side
    1,975.38x = 7,025,812.89
  5. Step 5: Solve for x
    x = 7,025,812.89/1,975.38
  6. Step 6: Final answer
    x = 3,556.70

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.