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Finding the Third Proportional to 46.69 and 61.50

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Solution

The third proportional to 46.69 and 61.50 is: 81.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.69 : 61.50 = 61.50 : x
  2. Step 2: Convert to fraction form
    46.69/61.50 = 61.50/x
  3. Step 3: Cross multiply
    46.69x = 61.50 × 61.50
  4. Step 4: Simplify right side
    46.69x = 3,782.25
  5. Step 5: Solve for x
    x = 3,782.25/46.69
  6. Step 6: Final answer
    x = 81.01

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.