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Finding the Third Proportional to 46.75 and 55.50

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Solution

The third proportional to 46.75 and 55.50 is: 65.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.75 : 55.50 = 55.50 : x
  2. Step 2: Convert to fraction form
    46.75/55.50 = 55.50/x
  3. Step 3: Cross multiply
    46.75x = 55.50 × 55.50
  4. Step 4: Simplify right side
    46.75x = 3,080.25
  5. Step 5: Solve for x
    x = 3,080.25/46.75
  6. Step 6: Final answer
    x = 65.89

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These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.