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Finding the Third Proportional to 54,831.94 and 82,652.91

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Solution

The third proportional to 54,831.94 and 82,652.91 is: 124,589.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,831.94 : 82,652.91 = 82,652.91 : x
  2. Step 2: Convert to fraction form
    54,831.94/82,652.91 = 82,652.91/x
  3. Step 3: Cross multiply
    54,831.94x = 82,652.91 × 82,652.91
  4. Step 4: Simplify right side
    54,831.94x = 6,831,502,911.57
  5. Step 5: Solve for x
    x = 6,831,502,911.57/54,831.94
  6. Step 6: Final answer
    x = 124,589.85

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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.