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Finding the Third Proportional to 1.02 and 2.63

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Solution

The third proportional to 1.02 and 2.63 is: 6.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.02 : 2.63 = 2.63 : x
  2. Step 2: Convert to fraction form
    1.02/2.63 = 2.63/x
  3. Step 3: Cross multiply
    1.02x = 2.63 × 2.63
  4. Step 4: Simplify right side
    1.02x = 6.90
  5. Step 5: Solve for x
    x = 6.90/1.02
  6. Step 6: Final answer
    x = 6.75

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Why These Related Problems?

These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.