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Finding the Third Proportional to 1,803.52 and 2,425.57

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Solution

The third proportional to 1,803.52 and 2,425.57 is: 3,262.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,803.52 : 2,425.57 = 2,425.57 : x
  2. Step 2: Convert to fraction form
    1,803.52/2,425.57 = 2,425.57/x
  3. Step 3: Cross multiply
    1,803.52x = 2,425.57 × 2,425.57
  4. Step 4: Simplify right side
    1,803.52x = 5,883,391.34
  5. Step 5: Solve for x
    x = 5,883,391.34/1,803.52
  6. Step 6: Final answer
    x = 3,262.18

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Why These Related Problems?

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