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Finding the Third Proportional to 31,362 and 75,850.50

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Solution

The third proportional to 31,362 and 75,850.50 is: 183,448.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,362 : 75,850.50 = 75,850.50 : x
  2. Step 2: Convert to fraction form
    31,362/75,850.50 = 75,850.50/x
  3. Step 3: Cross multiply
    31,362x = 75,850.50 × 75,850.50
  4. Step 4: Simplify right side
    31,362x = 5,753,298,350.25
  5. Step 5: Solve for x
    x = 5,753,298,350.25/31,362
  6. Step 6: Final answer
    x = 183,448.07

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.