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Finding the Third Proportional to 37,801.75 and 59,000.75

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Solution

The third proportional to 37,801.75 and 59,000.75 is: 92,088.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,801.75 : 59,000.75 = 59,000.75 : x
  2. Step 2: Convert to fraction form
    37,801.75/59,000.75 = 59,000.75/x
  3. Step 3: Cross multiply
    37,801.75x = 59,000.75 × 59,000.75
  4. Step 4: Simplify right side
    37,801.75x = 3,481,088,500.56
  5. Step 5: Solve for x
    x = 3,481,088,500.56/37,801.75
  6. Step 6: Final answer
    x = 92,088.03

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.