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Finding the Third Proportional to 40.50 and 64.69

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Solution

The third proportional to 40.50 and 64.69 is: 103.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.50 : 64.69 = 64.69 : x
  2. Step 2: Convert to fraction form
    40.50/64.69 = 64.69/x
  3. Step 3: Cross multiply
    40.50x = 64.69 × 64.69
  4. Step 4: Simplify right side
    40.50x = 4,184.47
  5. Step 5: Solve for x
    x = 4,184.47/40.50
  6. Step 6: Final answer
    x = 103.32

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.