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Finding the Third Proportional to 2.53 and 3.77

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Solution

The third proportional to 2.53 and 3.77 is: 5.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.53 : 3.77 = 3.77 : x
  2. Step 2: Convert to fraction form
    2.53/3.77 = 3.77/x
  3. Step 3: Cross multiply
    2.53x = 3.77 × 3.77
  4. Step 4: Simplify right side
    2.53x = 14.24
  5. Step 5: Solve for x
    x = 14.24/2.53
  6. Step 6: Final answer
    x = 5.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.