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Finding the Third Proportional to 47.14 and 99.04

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Solution

The third proportional to 47.14 and 99.04 is: 208.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.14 : 99.04 = 99.04 : x
  2. Step 2: Convert to fraction form
    47.14/99.04 = 99.04/x
  3. Step 3: Cross multiply
    47.14x = 99.04 × 99.04
  4. Step 4: Simplify right side
    47.14x = 9,807.96
  5. Step 5: Solve for x
    x = 9,807.96/47.14
  6. Step 6: Final answer
    x = 208.04

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.