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Finding the Third Proportional to 51,573 and 69,583.50

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Solution

The third proportional to 51,573 and 69,583.50 is: 93,883.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,573 : 69,583.50 = 69,583.50 : x
  2. Step 2: Convert to fraction form
    51,573/69,583.50 = 69,583.50/x
  3. Step 3: Cross multiply
    51,573x = 69,583.50 × 69,583.50
  4. Step 4: Simplify right side
    51,573x = 4,841,863,472.25
  5. Step 5: Solve for x
    x = 4,841,863,472.25/51,573
  6. Step 6: Final answer
    x = 93,883.69

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.