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Finding the Third Proportional to 31 and 52.50

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Solution

The third proportional to 31 and 52.50 is: 88.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31 : 52.50 = 52.50 : x
  2. Step 2: Convert to fraction form
    31/52.50 = 52.50/x
  3. Step 3: Cross multiply
    31x = 52.50 × 52.50
  4. Step 4: Simplify right side
    31x = 2,756.25
  5. Step 5: Solve for x
    x = 2,756.25/31
  6. Step 6: Final answer
    x = 88.91

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.