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Finding the Third Proportional to 47.53 and 60.05

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Solution

The third proportional to 47.53 and 60.05 is: 75.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.53 : 60.05 = 60.05 : x
  2. Step 2: Convert to fraction form
    47.53/60.05 = 60.05/x
  3. Step 3: Cross multiply
    47.53x = 60.05 × 60.05
  4. Step 4: Simplify right side
    47.53x = 3,605.63
  5. Step 5: Solve for x
    x = 3,605.63/47.53
  6. Step 6: Final answer
    x = 75.86

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.