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Finding the Third Proportional to 25,127.72 and 36,768.94

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Solution

The third proportional to 25,127.72 and 36,768.94 is: 53,803.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,127.72 : 36,768.94 = 36,768.94 : x
  2. Step 2: Convert to fraction form
    25,127.72/36,768.94 = 36,768.94/x
  3. Step 3: Cross multiply
    25,127.72x = 36,768.94 × 36,768.94
  4. Step 4: Simplify right side
    25,127.72x = 1,351,954,764.88
  5. Step 5: Solve for x
    x = 1,351,954,764.88/25,127.72
  6. Step 6: Final answer
    x = 53,803.32

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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.