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Finding the Third Proportional to 12,786.75 and 28,549.50

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Solution

The third proportional to 12,786.75 and 28,549.50 is: 63,743.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,786.75 : 28,549.50 = 28,549.50 : x
  2. Step 2: Convert to fraction form
    12,786.75/28,549.50 = 28,549.50/x
  3. Step 3: Cross multiply
    12,786.75x = 28,549.50 × 28,549.50
  4. Step 4: Simplify right side
    12,786.75x = 815,073,950.25
  5. Step 5: Solve for x
    x = 815,073,950.25/12,786.75
  6. Step 6: Final answer
    x = 63,743.64

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.