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Finding the Third Proportional to 1,600.50 and 2,407.13

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Solution

The third proportional to 1,600.50 and 2,407.13 is: 3,620.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.50 : 2,407.13 = 2,407.13 : x
  2. Step 2: Convert to fraction form
    1,600.50/2,407.13 = 2,407.13/x
  3. Step 3: Cross multiply
    1,600.50x = 2,407.13 × 2,407.13
  4. Step 4: Simplify right side
    1,600.50x = 5,794,250.77
  5. Step 5: Solve for x
    x = 5,794,250.77/1,600.50
  6. Step 6: Final answer
    x = 3,620.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.