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Finding the Third Proportional to 14,728.50 and 32,869.13

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Solution

The third proportional to 14,728.50 and 32,869.13 is: 73,352.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,728.50 : 32,869.13 = 32,869.13 : x
  2. Step 2: Convert to fraction form
    14,728.50/32,869.13 = 32,869.13/x
  3. Step 3: Cross multiply
    14,728.50x = 32,869.13 × 32,869.13
  4. Step 4: Simplify right side
    14,728.50x = 1,080,379,378.27
  5. Step 5: Solve for x
    x = 1,080,379,378.27/14,728.50
  6. Step 6: Final answer
    x = 73,352.98

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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.