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Finding the Third Proportional to 23,204.81 and 34,857.84

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Solution

The third proportional to 23,204.81 and 34,857.84 is: 52,362.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,204.81 : 34,857.84 = 34,857.84 : x
  2. Step 2: Convert to fraction form
    23,204.81/34,857.84 = 34,857.84/x
  3. Step 3: Cross multiply
    23,204.81x = 34,857.84 × 34,857.84
  4. Step 4: Simplify right side
    23,204.81x = 1,215,069,270.90
  5. Step 5: Solve for x
    x = 1,215,069,270.90/23,204.81
  6. Step 6: Final answer
    x = 52,362.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.