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Finding the Third Proportional to 29,679.75 and 70,063.31

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Solution

The third proportional to 29,679.75 and 70,063.31 is: 165,394.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,679.75 : 70,063.31 = 70,063.31 : x
  2. Step 2: Convert to fraction form
    29,679.75/70,063.31 = 70,063.31/x
  3. Step 3: Cross multiply
    29,679.75x = 70,063.31 × 70,063.31
  4. Step 4: Simplify right side
    29,679.75x = 4,908,867,758.47
  5. Step 5: Solve for x
    x = 4,908,867,758.47/29,679.75
  6. Step 6: Final answer
    x = 165,394.51

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.