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Finding the Third Proportional to 15,754.25 and 34,094.50

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Solution

The third proportional to 15,754.25 and 34,094.50 is: 73,785.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,754.25 : 34,094.50 = 34,094.50 : x
  2. Step 2: Convert to fraction form
    15,754.25/34,094.50 = 34,094.50/x
  3. Step 3: Cross multiply
    15,754.25x = 34,094.50 × 34,094.50
  4. Step 4: Simplify right side
    15,754.25x = 1,162,434,930.25
  5. Step 5: Solve for x
    x = 1,162,434,930.25/15,754.25
  6. Step 6: Final answer
    x = 73,785.48

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.