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Finding the Third Proportional to 39,983.63 and 56,831.63

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Solution

The third proportional to 39,983.63 and 56,831.63 is: 80,778.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,983.63 : 56,831.63 = 56,831.63 : x
  2. Step 2: Convert to fraction form
    39,983.63/56,831.63 = 56,831.63/x
  3. Step 3: Cross multiply
    39,983.63x = 56,831.63 × 56,831.63
  4. Step 4: Simplify right side
    39,983.63x = 3,229,833,600.14
  5. Step 5: Solve for x
    x = 3,229,833,600.14/39,983.63
  6. Step 6: Final answer
    x = 80,778.91

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.