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Finding the Third Proportional to 37,529.58 and 69,522.05

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Solution

The third proportional to 37,529.58 and 69,522.05 is: 128,786.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,529.58 : 69,522.05 = 69,522.05 : x
  2. Step 2: Convert to fraction form
    37,529.58/69,522.05 = 69,522.05/x
  3. Step 3: Cross multiply
    37,529.58x = 69,522.05 × 69,522.05
  4. Step 4: Simplify right side
    37,529.58x = 4,833,315,001.69
  5. Step 5: Solve for x
    x = 4,833,315,001.69/37,529.58
  6. Step 6: Final answer
    x = 128,786.82

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These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.