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Finding the Third Proportional to 25.23 and 43.02

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Solution

The third proportional to 25.23 and 43.02 is: 73.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.23 : 43.02 = 43.02 : x
  2. Step 2: Convert to fraction form
    25.23/43.02 = 43.02/x
  3. Step 3: Cross multiply
    25.23x = 43.02 × 43.02
  4. Step 4: Simplify right side
    25.23x = 1,851.02
  5. Step 5: Solve for x
    x = 1,851.02/25.23
  6. Step 6: Final answer
    x = 73.37

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.