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Finding the Third Proportional to 2.58 and 5.58

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Solution

The third proportional to 2.58 and 5.58 is: 12.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.58 : 5.58 = 5.58 : x
  2. Step 2: Convert to fraction form
    2.58/5.58 = 5.58/x
  3. Step 3: Cross multiply
    2.58x = 5.58 × 5.58
  4. Step 4: Simplify right side
    2.58x = 31.12
  5. Step 5: Solve for x
    x = 31.12/2.58
  6. Step 6: Final answer
    x = 12.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.