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Finding the Third Proportional to 1,750.36 and 1,803.52

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Solution

The third proportional to 1,750.36 and 1,803.52 is: 1,858.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.36 : 1,803.52 = 1,803.52 : x
  2. Step 2: Convert to fraction form
    1,750.36/1,803.52 = 1,803.52/x
  3. Step 3: Cross multiply
    1,750.36x = 1,803.52 × 1,803.52
  4. Step 4: Simplify right side
    1,750.36x = 3,252,668.61
  5. Step 5: Solve for x
    x = 3,252,668.61/1,750.36
  6. Step 6: Final answer
    x = 1,858.29

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Why These Related Problems?

These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.