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Finding the Third Proportional to 40 and 45.50

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Solution

The third proportional to 40 and 45.50 is: 51.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    40 : 45.50 = 45.50 : x
  2. Step 2: Convert to fraction form
    40/45.50 = 45.50/x
  3. Step 3: Cross multiply
    40x = 45.50 × 45.50
  4. Step 4: Simplify right side
    40x = 2,070.25
  5. Step 5: Solve for x
    x = 2,070.25/40
  6. Step 6: Final answer
    x = 51.76

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.