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Finding the Third Proportional to 31,000.50 and 71,973

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Solution

The third proportional to 31,000.50 and 71,973 is: 167,097.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,000.50 : 71,973 = 71,973 : x
  2. Step 2: Convert to fraction form
    31,000.50/71,973 = 71,973/x
  3. Step 3: Cross multiply
    31,000.50x = 71,973 × 71,973
  4. Step 4: Simplify right side
    31,000.50x = 5,180,112,729
  5. Step 5: Solve for x
    x = 5,180,112,729/31,000.50
  6. Step 6: Final answer
    x = 167,097.72

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.