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Finding the Third Proportional to 37,569 and 56,235.75

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Solution

The third proportional to 37,569 and 56,235.75 is: 84,177.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,569 : 56,235.75 = 56,235.75 : x
  2. Step 2: Convert to fraction form
    37,569/56,235.75 = 56,235.75/x
  3. Step 3: Cross multiply
    37,569x = 56,235.75 × 56,235.75
  4. Step 4: Simplify right side
    37,569x = 3,162,459,578.06
  5. Step 5: Solve for x
    x = 3,162,459,578.06/37,569
  6. Step 6: Final answer
    x = 84,177.37

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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.