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Finding the Third Proportional to 1.03 and 2.16

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Solution

The third proportional to 1.03 and 2.16 is: 4.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.03 : 2.16 = 2.16 : x
  2. Step 2: Convert to fraction form
    1.03/2.16 = 2.16/x
  3. Step 3: Cross multiply
    1.03x = 2.16 × 2.16
  4. Step 4: Simplify right side
    1.03x = 4.65
  5. Step 5: Solve for x
    x = 4.65/1.03
  6. Step 6: Final answer
    x = 4.51

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.