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Finding the Third Proportional to 14,786.50 and 32,853.50

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Solution

The third proportional to 14,786.50 and 32,853.50 is: 72,995.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,786.50 : 32,853.50 = 32,853.50 : x
  2. Step 2: Convert to fraction form
    14,786.50/32,853.50 = 32,853.50/x
  3. Step 3: Cross multiply
    14,786.50x = 32,853.50 × 32,853.50
  4. Step 4: Simplify right side
    14,786.50x = 1,079,352,462.25
  5. Step 5: Solve for x
    x = 1,079,352,462.25/14,786.50
  6. Step 6: Final answer
    x = 72,995.80

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.