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Finding the Third Proportional to 31,831.10 and 49,130.61

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Solution

The third proportional to 31,831.10 and 49,130.61 is: 75,832.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,831.10 : 49,130.61 = 49,130.61 : x
  2. Step 2: Convert to fraction form
    31,831.10/49,130.61 = 49,130.61/x
  3. Step 3: Cross multiply
    31,831.10x = 49,130.61 × 49,130.61
  4. Step 4: Simplify right side
    31,831.10x = 2,413,817,161.39
  5. Step 5: Solve for x
    x = 2,413,817,161.39/31,831.10
  6. Step 6: Final answer
    x = 75,832.03

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.