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Finding the Third Proportional to 19,429.31 and 29,523.75

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Solution

The third proportional to 19,429.31 and 29,523.75 is: 44,862.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,429.31 : 29,523.75 = 29,523.75 : x
  2. Step 2: Convert to fraction form
    19,429.31/29,523.75 = 29,523.75/x
  3. Step 3: Cross multiply
    19,429.31x = 29,523.75 × 29,523.75
  4. Step 4: Simplify right side
    19,429.31x = 871,651,814.06
  5. Step 5: Solve for x
    x = 871,651,814.06/19,429.31
  6. Step 6: Final answer
    x = 44,862.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.