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Finding the Third Proportional to 51,941.25 and 69,322.50

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Solution

The third proportional to 51,941.25 and 69,322.50 is: 92,520.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,941.25 : 69,322.50 = 69,322.50 : x
  2. Step 2: Convert to fraction form
    51,941.25/69,322.50 = 69,322.50/x
  3. Step 3: Cross multiply
    51,941.25x = 69,322.50 × 69,322.50
  4. Step 4: Simplify right side
    51,941.25x = 4,805,609,006.25
  5. Step 5: Solve for x
    x = 4,805,609,006.25/51,941.25
  6. Step 6: Final answer
    x = 92,520.09

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.