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Finding the Third Proportional to 37,320.75 and 57,784.13

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Solution

The third proportional to 37,320.75 and 57,784.13 is: 89,467.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,320.75 : 57,784.13 = 57,784.13 : x
  2. Step 2: Convert to fraction form
    37,320.75/57,784.13 = 57,784.13/x
  3. Step 3: Cross multiply
    37,320.75x = 57,784.13 × 57,784.13
  4. Step 4: Simplify right side
    37,320.75x = 3,339,005,102.02
  5. Step 5: Solve for x
    x = 3,339,005,102.02/37,320.75
  6. Step 6: Final answer
    x = 89,467.79

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.