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Finding the Third Proportional to 25.59 and 38.53

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Solution

The third proportional to 25.59 and 38.53 is: 58.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.59 : 38.53 = 38.53 : x
  2. Step 2: Convert to fraction form
    25.59/38.53 = 38.53/x
  3. Step 3: Cross multiply
    25.59x = 38.53 × 38.53
  4. Step 4: Simplify right side
    25.59x = 1,484.66
  5. Step 5: Solve for x
    x = 1,484.66/25.59
  6. Step 6: Final answer
    x = 58.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.