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Finding the Third Proportional to 3,058.31 and 6,699.94

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Solution

The third proportional to 3,058.31 and 6,699.94 is: 14,677.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,058.31 : 6,699.94 = 6,699.94 : x
  2. Step 2: Convert to fraction form
    3,058.31/6,699.94 = 6,699.94/x
  3. Step 3: Cross multiply
    3,058.31x = 6,699.94 × 6,699.94
  4. Step 4: Simplify right side
    3,058.31x = 44,889,162.50
  5. Step 5: Solve for x
    x = 44,889,162.50/3,058.31
  6. Step 6: Final answer
    x = 14,677.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.