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Finding the Third Proportional to 1,525.50 and 2,273.91

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Solution

The third proportional to 1,525.50 and 2,273.91 is: 3,389.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.50 : 2,273.91 = 2,273.91 : x
  2. Step 2: Convert to fraction form
    1,525.50/2,273.91 = 2,273.91/x
  3. Step 3: Cross multiply
    1,525.50x = 2,273.91 × 2,273.91
  4. Step 4: Simplify right side
    1,525.50x = 5,170,649.63
  5. Step 5: Solve for x
    x = 5,170,649.63/1,525.50
  6. Step 6: Final answer
    x = 3,389.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.