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Finding the Third Proportional to 13,397.91 and 31,152.09

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Solution

The third proportional to 13,397.91 and 31,152.09 is: 72,433.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,397.91 : 31,152.09 = 31,152.09 : x
  2. Step 2: Convert to fraction form
    13,397.91/31,152.09 = 31,152.09/x
  3. Step 3: Cross multiply
    13,397.91x = 31,152.09 × 31,152.09
  4. Step 4: Simplify right side
    13,397.91x = 970,452,945.01
  5. Step 5: Solve for x
    x = 970,452,945.01/13,397.91
  6. Step 6: Final answer
    x = 72,433.18

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.