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Finding the Third Proportional to 25.31 and 37.02

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Solution

The third proportional to 25.31 and 37.02 is: 54.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.31 : 37.02 = 37.02 : x
  2. Step 2: Convert to fraction form
    25.31/37.02 = 37.02/x
  3. Step 3: Cross multiply
    25.31x = 37.02 × 37.02
  4. Step 4: Simplify right side
    25.31x = 1,370.45
  5. Step 5: Solve for x
    x = 1,370.45/25.31
  6. Step 6: Final answer
    x = 54.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.