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Finding the Third Proportional to 1.07 and 2.53

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Solution

The third proportional to 1.07 and 2.53 is: 5.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.07 : 2.53 = 2.53 : x
  2. Step 2: Convert to fraction form
    1.07/2.53 = 2.53/x
  3. Step 3: Cross multiply
    1.07x = 2.53 × 2.53
  4. Step 4: Simplify right side
    1.07x = 6.39
  5. Step 5: Solve for x
    x = 6.39/1.07
  6. Step 6: Final answer
    x = 5.96

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.