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Finding the Third Proportional to 2,531.25 and 3,803.63

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Solution

The third proportional to 2,531.25 and 3,803.63 is: 5,715.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.25 : 3,803.63 = 3,803.63 : x
  2. Step 2: Convert to fraction form
    2,531.25/3,803.63 = 3,803.63/x
  3. Step 3: Cross multiply
    2,531.25x = 3,803.63 × 3,803.63
  4. Step 4: Simplify right side
    2,531.25x = 14,467,563.14
  5. Step 5: Solve for x
    x = 14,467,563.14/2,531.25
  6. Step 6: Final answer
    x = 5,715.58

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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.