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Finding the Third Proportional to 51,573.38 and 69,584.06

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Solution

The third proportional to 51,573.38 and 69,584.06 is: 93,884.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,573.38 : 69,584.06 = 69,584.06 : x
  2. Step 2: Convert to fraction form
    51,573.38/69,584.06 = 69,584.06/x
  3. Step 3: Cross multiply
    51,573.38x = 69,584.06 × 69,584.06
  4. Step 4: Simplify right side
    51,573.38x = 4,841,941,754.00
  5. Step 5: Solve for x
    x = 4,841,941,754.00/51,573.38
  6. Step 6: Final answer
    x = 93,884.52

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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.