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Finding the Third Proportional to 15,195.09 and 23,002.31

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Solution

The third proportional to 15,195.09 and 23,002.31 is: 34,820.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,195.09 : 23,002.31 = 23,002.31 : x
  2. Step 2: Convert to fraction form
    15,195.09/23,002.31 = 23,002.31/x
  3. Step 3: Cross multiply
    15,195.09x = 23,002.31 × 23,002.31
  4. Step 4: Simplify right side
    15,195.09x = 529,106,380.35
  5. Step 5: Solve for x
    x = 529,106,380.35/15,195.09
  6. Step 6: Final answer
    x = 34,820.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.