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Finding the Third Proportional to 1,533.38 and 3,108.94

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Solution

The third proportional to 1,533.38 and 3,108.94 is: 6,303.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.38 : 3,108.94 = 3,108.94 : x
  2. Step 2: Convert to fraction form
    1,533.38/3,108.94 = 3,108.94/x
  3. Step 3: Cross multiply
    1,533.38x = 3,108.94 × 3,108.94
  4. Step 4: Simplify right side
    1,533.38x = 9,665,492.38
  5. Step 5: Solve for x
    x = 9,665,492.38/1,533.38
  6. Step 6: Final answer
    x = 6,303.41

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.