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Finding the Third Proportional to 7,866.98 and 16,645.08

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Solution

The third proportional to 7,866.98 and 16,645.08 is: 35,217.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.98 : 16,645.08 = 16,645.08 : x
  2. Step 2: Convert to fraction form
    7,866.98/16,645.08 = 16,645.08/x
  3. Step 3: Cross multiply
    7,866.98x = 16,645.08 × 16,645.08
  4. Step 4: Simplify right side
    7,866.98x = 277,058,625.79
  5. Step 5: Solve for x
    x = 277,058,625.79/7,866.98
  6. Step 6: Final answer
    x = 35,217.89

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.