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Finding the Third Proportional to 52.50 and 76.88

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Solution

The third proportional to 52.50 and 76.88 is: 112.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.50 : 76.88 = 76.88 : x
  2. Step 2: Convert to fraction form
    52.50/76.88 = 76.88/x
  3. Step 3: Cross multiply
    52.50x = 76.88 × 76.88
  4. Step 4: Simplify right side
    52.50x = 5,909.77
  5. Step 5: Solve for x
    x = 5,909.77/52.50
  6. Step 6: Final answer
    x = 112.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.