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Finding the Third Proportional to 1.02 and 2.17

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Solution

The third proportional to 1.02 and 2.17 is: 4.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.02 : 2.17 = 2.17 : x
  2. Step 2: Convert to fraction form
    1.02/2.17 = 2.17/x
  3. Step 3: Cross multiply
    1.02x = 2.17 × 2.17
  4. Step 4: Simplify right side
    1.02x = 4.72
  5. Step 5: Solve for x
    x = 4.72/1.02
  6. Step 6: Final answer
    x = 4.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.