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Finding the Third Proportional to 46.08 and 65.48

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Solution

The third proportional to 46.08 and 65.48 is: 93.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.08 : 65.48 = 65.48 : x
  2. Step 2: Convert to fraction form
    46.08/65.48 = 65.48/x
  3. Step 3: Cross multiply
    46.08x = 65.48 × 65.48
  4. Step 4: Simplify right side
    46.08x = 4,288.20
  5. Step 5: Solve for x
    x = 4,288.20/46.08
  6. Step 6: Final answer
    x = 93.06

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.