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Finding the Third Proportional to 16,965.50 and 22,309.50

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Solution

The third proportional to 16,965.50 and 22,309.50 is: 29,336.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,965.50 : 22,309.50 = 22,309.50 : x
  2. Step 2: Convert to fraction form
    16,965.50/22,309.50 = 22,309.50/x
  3. Step 3: Cross multiply
    16,965.50x = 22,309.50 × 22,309.50
  4. Step 4: Simplify right side
    16,965.50x = 497,713,790.25
  5. Step 5: Solve for x
    x = 497,713,790.25/16,965.50
  6. Step 6: Final answer
    x = 29,336.82

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.