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Finding the Third Proportional to 47.34 and 99.66

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Solution

The third proportional to 47.34 and 99.66 is: 209.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.34 : 99.66 = 99.66 : x
  2. Step 2: Convert to fraction form
    47.34/99.66 = 99.66/x
  3. Step 3: Cross multiply
    47.34x = 99.66 × 99.66
  4. Step 4: Simplify right side
    47.34x = 9,931.37
  5. Step 5: Solve for x
    x = 9,931.37/47.34
  6. Step 6: Final answer
    x = 209.77

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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.