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Finding the Third Proportional to 4.02 and 8.58

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Solution

The third proportional to 4.02 and 8.58 is: 18.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.02 : 8.58 = 8.58 : x
  2. Step 2: Convert to fraction form
    4.02/8.58 = 8.58/x
  3. Step 3: Cross multiply
    4.02x = 8.58 × 8.58
  4. Step 4: Simplify right side
    4.02x = 73.64
  5. Step 5: Solve for x
    x = 73.64/4.02
  6. Step 6: Final answer
    x = 18.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.