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Finding the Third Proportional to 31,972.50 and 50,046

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Solution

The third proportional to 31,972.50 and 50,046 is: 78,336.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,972.50 : 50,046 = 50,046 : x
  2. Step 2: Convert to fraction form
    31,972.50/50,046 = 50,046/x
  3. Step 3: Cross multiply
    31,972.50x = 50,046 × 50,046
  4. Step 4: Simplify right side
    31,972.50x = 2,504,602,116
  5. Step 5: Solve for x
    x = 2,504,602,116/31,972.50
  6. Step 6: Final answer
    x = 78,336.14

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.