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Finding the Third Proportional to 1.05 and 2.47

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Solution

The third proportional to 1.05 and 2.47 is: 5.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.05 : 2.47 = 2.47 : x
  2. Step 2: Convert to fraction form
    1.05/2.47 = 2.47/x
  3. Step 3: Cross multiply
    1.05x = 2.47 × 2.47
  4. Step 4: Simplify right side
    1.05x = 6.10
  5. Step 5: Solve for x
    x = 6.10/1.05
  6. Step 6: Final answer
    x = 5.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.