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Finding the Third Proportional to 47,211.75 and 69,926.06

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Solution

The third proportional to 47,211.75 and 69,926.06 is: 103,568.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,211.75 : 69,926.06 = 69,926.06 : x
  2. Step 2: Convert to fraction form
    47,211.75/69,926.06 = 69,926.06/x
  3. Step 3: Cross multiply
    47,211.75x = 69,926.06 × 69,926.06
  4. Step 4: Simplify right side
    47,211.75x = 4,889,654,216.75
  5. Step 5: Solve for x
    x = 4,889,654,216.75/47,211.75
  6. Step 6: Final answer
    x = 103,568.59

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.