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Finding the Third Proportional to 37,825.13 and 56,901

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Solution

The third proportional to 37,825.13 and 56,901 is: 85,597.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,825.13 : 56,901 = 56,901 : x
  2. Step 2: Convert to fraction form
    37,825.13/56,901 = 56,901/x
  3. Step 3: Cross multiply
    37,825.13x = 56,901 × 56,901
  4. Step 4: Simplify right side
    37,825.13x = 3,237,723,801
  5. Step 5: Solve for x
    x = 3,237,723,801/37,825.13
  6. Step 6: Final answer
    x = 85,597.17

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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.