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Finding the Third Proportional to 47.85 and 95.70

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Solution

The third proportional to 47.85 and 95.70 is: 191.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.85 : 95.70 = 95.70 : x
  2. Step 2: Convert to fraction form
    47.85/95.70 = 95.70/x
  3. Step 3: Cross multiply
    47.85x = 95.70 × 95.70
  4. Step 4: Simplify right side
    47.85x = 9,158.42
  5. Step 5: Solve for x
    x = 9,158.42/47.85
  6. Step 6: Final answer
    x = 191.40

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.