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Finding the Third Proportional to 22,717.50 and 34,485

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Solution

The third proportional to 22,717.50 and 34,485 is: 52,347.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,717.50 : 34,485 = 34,485 : x
  2. Step 2: Convert to fraction form
    22,717.50/34,485 = 34,485/x
  3. Step 3: Cross multiply
    22,717.50x = 34,485 × 34,485
  4. Step 4: Simplify right side
    22,717.50x = 1,189,215,225
  5. Step 5: Solve for x
    x = 1,189,215,225/22,717.50
  6. Step 6: Final answer
    x = 52,347.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.