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Finding the Third Proportional to 1,650.38 and 2,516.06

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Solution

The third proportional to 1,650.38 and 2,516.06 is: 3,835.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.38 : 2,516.06 = 2,516.06 : x
  2. Step 2: Convert to fraction form
    1,650.38/2,516.06 = 2,516.06/x
  3. Step 3: Cross multiply
    1,650.38x = 2,516.06 × 2,516.06
  4. Step 4: Simplify right side
    1,650.38x = 6,330,570.50
  5. Step 5: Solve for x
    x = 6,330,570.50/1,650.38
  6. Step 6: Final answer
    x = 3,835.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.