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Finding the Third Proportional to 1.03 and 2.29

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Solution

The third proportional to 1.03 and 2.29 is: 5.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.03 : 2.29 = 2.29 : x
  2. Step 2: Convert to fraction form
    1.03/2.29 = 2.29/x
  3. Step 3: Cross multiply
    1.03x = 2.29 × 2.29
  4. Step 4: Simplify right side
    1.03x = 5.26
  5. Step 5: Solve for x
    x = 5.26/1.03
  6. Step 6: Final answer
    x = 5.12

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.