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Finding the Third Proportional to 19,523.53 and 40,431.02

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Solution

The third proportional to 19,523.53 and 40,431.02 is: 83,728.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,523.53 : 40,431.02 = 40,431.02 : x
  2. Step 2: Convert to fraction form
    19,523.53/40,431.02 = 40,431.02/x
  3. Step 3: Cross multiply
    19,523.53x = 40,431.02 × 40,431.02
  4. Step 4: Simplify right side
    19,523.53x = 1,634,667,656.20
  5. Step 5: Solve for x
    x = 1,634,667,656.20/19,523.53
  6. Step 6: Final answer
    x = 83,728.07

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.