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Finding the Third Proportional to 31,853.25 and 50,452.88

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Solution

The third proportional to 31,853.25 and 50,452.88 is: 79,913.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,853.25 : 50,452.88 = 50,452.88 : x
  2. Step 2: Convert to fraction form
    31,853.25/50,452.88 = 50,452.88/x
  3. Step 3: Cross multiply
    31,853.25x = 50,452.88 × 50,452.88
  4. Step 4: Simplify right side
    31,853.25x = 2,545,492,595.77
  5. Step 5: Solve for x
    x = 2,545,492,595.77/31,853.25
  6. Step 6: Final answer
    x = 79,913.12

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.