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Finding the Third Proportional to 52.03 and 75.09

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Solution

The third proportional to 52.03 and 75.09 is: 108.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.03 : 75.09 = 75.09 : x
  2. Step 2: Convert to fraction form
    52.03/75.09 = 75.09/x
  3. Step 3: Cross multiply
    52.03x = 75.09 × 75.09
  4. Step 4: Simplify right side
    52.03x = 5,639.07
  5. Step 5: Solve for x
    x = 5,639.07/52.03
  6. Step 6: Final answer
    x = 108.38

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.