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Finding the Third Proportional to 0.49 and 1.07

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Solution

The third proportional to 0.49 and 1.07 is: 2.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.49 : 1.07 = 1.07 : x
  2. Step 2: Convert to fraction form
    0.49/1.07 = 1.07/x
  3. Step 3: Cross multiply
    0.49x = 1.07 × 1.07
  4. Step 4: Simplify right side
    0.49x = 1.15
  5. Step 5: Solve for x
    x = 1.15/0.49
  6. Step 6: Final answer
    x = 2.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.