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Finding the Third Proportional to 31,816.13 and 62,828.81

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Solution

The third proportional to 31,816.13 and 62,828.81 is: 124,071.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,816.13 : 62,828.81 = 62,828.81 : x
  2. Step 2: Convert to fraction form
    31,816.13/62,828.81 = 62,828.81/x
  3. Step 3: Cross multiply
    31,816.13x = 62,828.81 × 62,828.81
  4. Step 4: Simplify right side
    31,816.13x = 3,947,459,680.16
  5. Step 5: Solve for x
    x = 3,947,459,680.16/31,816.13
  6. Step 6: Final answer
    x = 124,071.04

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.