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Finding the Third Proportional to 23,253 and 34,827.75

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Solution

The third proportional to 23,253 and 34,827.75 is: 52,164.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,253 : 34,827.75 = 34,827.75 : x
  2. Step 2: Convert to fraction form
    23,253/34,827.75 = 34,827.75/x
  3. Step 3: Cross multiply
    23,253x = 34,827.75 × 34,827.75
  4. Step 4: Simplify right side
    23,253x = 1,212,972,170.06
  5. Step 5: Solve for x
    x = 1,212,972,170.06/23,253
  6. Step 6: Final answer
    x = 52,164.12

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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.