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Finding the Third Proportional to 25.71 and 59.14

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Solution

The third proportional to 25.71 and 59.14 is: 136.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.71 : 59.14 = 59.14 : x
  2. Step 2: Convert to fraction form
    25.71/59.14 = 59.14/x
  3. Step 3: Cross multiply
    25.71x = 59.14 × 59.14
  4. Step 4: Simplify right side
    25.71x = 3,497.11
  5. Step 5: Solve for x
    x = 3,497.11/25.71
  6. Step 6: Final answer
    x = 136.01

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.