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Finding the Third Proportional to 13,908.94 and 32,815.69

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Solution

The third proportional to 13,908.94 and 32,815.69 is: 77,422.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,908.94 : 32,815.69 = 32,815.69 : x
  2. Step 2: Convert to fraction form
    13,908.94/32,815.69 = 32,815.69/x
  3. Step 3: Cross multiply
    13,908.94x = 32,815.69 × 32,815.69
  4. Step 4: Simplify right side
    13,908.94x = 1,076,869,346.10
  5. Step 5: Solve for x
    x = 1,076,869,346.10/13,908.94
  6. Step 6: Final answer
    x = 77,422.83

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.