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Finding the Third Proportional to 31,480.84 and 68,036.20

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Solution

The third proportional to 31,480.84 and 68,036.20 is: 147,039.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,480.84 : 68,036.20 = 68,036.20 : x
  2. Step 2: Convert to fraction form
    31,480.84/68,036.20 = 68,036.20/x
  3. Step 3: Cross multiply
    31,480.84x = 68,036.20 × 68,036.20
  4. Step 4: Simplify right side
    31,480.84x = 4,628,924,935.67
  5. Step 5: Solve for x
    x = 4,628,924,935.67/31,480.84
  6. Step 6: Final answer
    x = 147,039.44

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.