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Finding the Third Proportional to 52.75 and 70.94

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Solution

The third proportional to 52.75 and 70.94 is: 95.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.75 : 70.94 = 70.94 : x
  2. Step 2: Convert to fraction form
    52.75/70.94 = 70.94/x
  3. Step 3: Cross multiply
    52.75x = 70.94 × 70.94
  4. Step 4: Simplify right side
    52.75x = 5,032.13
  5. Step 5: Solve for x
    x = 5,032.13/52.75
  6. Step 6: Final answer
    x = 95.40

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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.