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Finding the Third Proportional to 14,918.77 and 32,172.61

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Solution

The third proportional to 14,918.77 and 32,172.61 is: 69,380.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,918.77 : 32,172.61 = 32,172.61 : x
  2. Step 2: Convert to fraction form
    14,918.77/32,172.61 = 32,172.61/x
  3. Step 3: Cross multiply
    14,918.77x = 32,172.61 × 32,172.61
  4. Step 4: Simplify right side
    14,918.77x = 1,035,076,794.00
  5. Step 5: Solve for x
    x = 1,035,076,794.00/14,918.77
  6. Step 6: Final answer
    x = 69,380.86

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.