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Finding the Third Proportional to 51,257.81 and 77,023.41

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Solution

The third proportional to 51,257.81 and 77,023.41 is: 115,740.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,257.81 : 77,023.41 = 77,023.41 : x
  2. Step 2: Convert to fraction form
    51,257.81/77,023.41 = 77,023.41/x
  3. Step 3: Cross multiply
    51,257.81x = 77,023.41 × 77,023.41
  4. Step 4: Simplify right side
    51,257.81x = 5,932,605,110.35
  5. Step 5: Solve for x
    x = 5,932,605,110.35/51,257.81
  6. Step 6: Final answer
    x = 115,740.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.