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Finding the Third Proportional to 51 and 86.50

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Solution

The third proportional to 51 and 86.50 is: 146.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51 : 86.50 = 86.50 : x
  2. Step 2: Convert to fraction form
    51/86.50 = 86.50/x
  3. Step 3: Cross multiply
    51x = 86.50 × 86.50
  4. Step 4: Simplify right side
    51x = 7,482.25
  5. Step 5: Solve for x
    x = 7,482.25/51
  6. Step 6: Final answer
    x = 146.71

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.