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Finding the Third Proportional to 31,831.45 and 67,457.34

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Solution

The third proportional to 31,831.45 and 67,457.34 is: 142,955.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,831.45 : 67,457.34 = 67,457.34 : x
  2. Step 2: Convert to fraction form
    31,831.45/67,457.34 = 67,457.34/x
  3. Step 3: Cross multiply
    31,831.45x = 67,457.34 × 67,457.34
  4. Step 4: Simplify right side
    31,831.45x = 4,550,493,225.81
  5. Step 5: Solve for x
    x = 4,550,493,225.81/31,831.45
  6. Step 6: Final answer
    x = 142,955.87

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.