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Finding the Third Proportional to 4.73 and 8.60

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Solution

The third proportional to 4.73 and 8.60 is: 15.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.73 : 8.60 = 8.60 : x
  2. Step 2: Convert to fraction form
    4.73/8.60 = 8.60/x
  3. Step 3: Cross multiply
    4.73x = 8.60 × 8.60
  4. Step 4: Simplify right side
    4.73x = 73.99
  5. Step 5: Solve for x
    x = 73.99/4.73
  6. Step 6: Final answer
    x = 15.64

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Why These Related Problems?

These problems maintain the same ratio (1.82) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.