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Finding the Third Proportional to 18,614.53 and 40,145.06

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Solution

The third proportional to 18,614.53 and 40,145.06 is: 86,578.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,614.53 : 40,145.06 = 40,145.06 : x
  2. Step 2: Convert to fraction form
    18,614.53/40,145.06 = 40,145.06/x
  3. Step 3: Cross multiply
    18,614.53x = 40,145.06 × 40,145.06
  4. Step 4: Simplify right side
    18,614.53x = 1,611,626,043.13
  5. Step 5: Solve for x
    x = 1,611,626,043.13/18,614.53
  6. Step 6: Final answer
    x = 86,578.92

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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.