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Finding the Third Proportional to 52.13 and 75.38

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Solution

The third proportional to 52.13 and 75.38 is: 109.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.13 : 75.38 = 75.38 : x
  2. Step 2: Convert to fraction form
    52.13/75.38 = 75.38/x
  3. Step 3: Cross multiply
    52.13x = 75.38 × 75.38
  4. Step 4: Simplify right side
    52.13x = 5,681.39
  5. Step 5: Solve for x
    x = 5,681.39/52.13
  6. Step 6: Final answer
    x = 109.00

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.