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Finding the Third Proportional to 14,921.44 and 32,178.38

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Solution

The third proportional to 14,921.44 and 32,178.38 is: 69,393.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,921.44 : 32,178.38 = 32,178.38 : x
  2. Step 2: Convert to fraction form
    14,921.44/32,178.38 = 32,178.38/x
  3. Step 3: Cross multiply
    14,921.44x = 32,178.38 × 32,178.38
  4. Step 4: Simplify right side
    14,921.44x = 1,035,447,817.64
  5. Step 5: Solve for x
    x = 1,035,447,817.64/14,921.44
  6. Step 6: Final answer
    x = 69,393.30

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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.