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Finding the Third Proportional to 47.04 and 101.32

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Solution

The third proportional to 47.04 and 101.32 is: 218.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.04 : 101.32 = 101.32 : x
  2. Step 2: Convert to fraction form
    47.04/101.32 = 101.32/x
  3. Step 3: Cross multiply
    47.04x = 101.32 × 101.32
  4. Step 4: Simplify right side
    47.04x = 10,265.81
  5. Step 5: Solve for x
    x = 10,265.81/47.04
  6. Step 6: Final answer
    x = 218.24

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.