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Finding the Third Proportional to 31,133.50 and 67,559

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Solution

The third proportional to 31,133.50 and 67,559 is: 146,601.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,133.50 : 67,559 = 67,559 : x
  2. Step 2: Convert to fraction form
    31,133.50/67,559 = 67,559/x
  3. Step 3: Cross multiply
    31,133.50x = 67,559 × 67,559
  4. Step 4: Simplify right side
    31,133.50x = 4,564,218,481
  5. Step 5: Solve for x
    x = 4,564,218,481/31,133.50
  6. Step 6: Final answer
    x = 146,601.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.