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Finding the Third Proportional to 4,210.31 and 7,016.91

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Solution

The third proportional to 4,210.31 and 7,016.91 is: 11,694.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,210.31 : 7,016.91 = 7,016.91 : x
  2. Step 2: Convert to fraction form
    4,210.31/7,016.91 = 7,016.91/x
  3. Step 3: Cross multiply
    4,210.31x = 7,016.91 × 7,016.91
  4. Step 4: Simplify right side
    4,210.31x = 49,236,973.32
  5. Step 5: Solve for x
    x = 49,236,973.32/4,210.31
  6. Step 6: Final answer
    x = 11,694.38

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.