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Finding the Third Proportional to 6,773.63 and 16,456.50

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Solution

The third proportional to 6,773.63 and 16,456.50 is: 39,981.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,773.63 : 16,456.50 = 16,456.50 : x
  2. Step 2: Convert to fraction form
    6,773.63/16,456.50 = 16,456.50/x
  3. Step 3: Cross multiply
    6,773.63x = 16,456.50 × 16,456.50
  4. Step 4: Simplify right side
    6,773.63x = 270,816,392.25
  5. Step 5: Solve for x
    x = 270,816,392.25/6,773.63
  6. Step 6: Final answer
    x = 39,981.01

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These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.