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Finding the Third Proportional to 1.06 and 2.53

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Solution

The third proportional to 1.06 and 2.53 is: 6.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.06 : 2.53 = 2.53 : x
  2. Step 2: Convert to fraction form
    1.06/2.53 = 2.53/x
  3. Step 3: Cross multiply
    1.06x = 2.53 × 2.53
  4. Step 4: Simplify right side
    1.06x = 6.38
  5. Step 5: Solve for x
    x = 6.38/1.06
  6. Step 6: Final answer
    x = 6.01

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.