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Finding the Third Proportional to 33,971.50 and 56,146.50

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Solution

The third proportional to 33,971.50 and 56,146.50 is: 92,796.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,971.50 : 56,146.50 = 56,146.50 : x
  2. Step 2: Convert to fraction form
    33,971.50/56,146.50 = 56,146.50/x
  3. Step 3: Cross multiply
    33,971.50x = 56,146.50 × 56,146.50
  4. Step 4: Simplify right side
    33,971.50x = 3,152,429,462.25
  5. Step 5: Solve for x
    x = 3,152,429,462.25/33,971.50
  6. Step 6: Final answer
    x = 92,796.30

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.