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Finding the Third Proportional to 9,753.75 and 23,002.31

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Solution

The third proportional to 9,753.75 and 23,002.31 is: 54,246.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,753.75 : 23,002.31 = 23,002.31 : x
  2. Step 2: Convert to fraction form
    9,753.75/23,002.31 = 23,002.31/x
  3. Step 3: Cross multiply
    9,753.75x = 23,002.31 × 23,002.31
  4. Step 4: Simplify right side
    9,753.75x = 529,106,380.35
  5. Step 5: Solve for x
    x = 529,106,380.35/9,753.75
  6. Step 6: Final answer
    x = 54,246.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.