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Finding the Third Proportional to 1.05 and 1.63

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Solution

The third proportional to 1.05 and 1.63 is: 2.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.05 : 1.63 = 1.63 : x
  2. Step 2: Convert to fraction form
    1.05/1.63 = 1.63/x
  3. Step 3: Cross multiply
    1.05x = 1.63 × 1.63
  4. Step 4: Simplify right side
    1.05x = 2.67
  5. Step 5: Solve for x
    x = 2.67/1.05
  6. Step 6: Final answer
    x = 2.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.