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Finding the Third Proportional to 47.38 and 70.63

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Solution

The third proportional to 47.38 and 70.63 is: 105.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.38 : 70.63 = 70.63 : x
  2. Step 2: Convert to fraction form
    47.38/70.63 = 70.63/x
  3. Step 3: Cross multiply
    47.38x = 70.63 × 70.63
  4. Step 4: Simplify right side
    47.38x = 4,987.89
  5. Step 5: Solve for x
    x = 4,987.89/47.38
  6. Step 6: Final answer
    x = 105.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.