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Finding the Third Proportional to 13,054.13 and 30,831.56

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Solution

The third proportional to 13,054.13 and 30,831.56 is: 72,818.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,054.13 : 30,831.56 = 30,831.56 : x
  2. Step 2: Convert to fraction form
    13,054.13/30,831.56 = 30,831.56/x
  3. Step 3: Cross multiply
    13,054.13x = 30,831.56 × 30,831.56
  4. Step 4: Simplify right side
    13,054.13x = 950,585,246.19
  5. Step 5: Solve for x
    x = 950,585,246.19/13,054.13
  6. Step 6: Final answer
    x = 72,818.76

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.