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Finding the Third Proportional to 51,394.50 and 70,016.91

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Solution

The third proportional to 51,394.50 and 70,016.91 is: 95,387.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,394.50 : 70,016.91 = 70,016.91 : x
  2. Step 2: Convert to fraction form
    51,394.50/70,016.91 = 70,016.91/x
  3. Step 3: Cross multiply
    51,394.50x = 70,016.91 × 70,016.91
  4. Step 4: Simplify right side
    51,394.50x = 4,902,367,160.82
  5. Step 5: Solve for x
    x = 4,902,367,160.82/51,394.50
  6. Step 6: Final answer
    x = 95,387.00

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.