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Finding the Third Proportional to 37,563 and 57,291.75

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Solution

The third proportional to 37,563 and 57,291.75 is: 87,382.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,563 : 57,291.75 = 57,291.75 : x
  2. Step 2: Convert to fraction form
    37,563/57,291.75 = 57,291.75/x
  3. Step 3: Cross multiply
    37,563x = 57,291.75 × 57,291.75
  4. Step 4: Simplify right side
    37,563x = 3,282,344,618.06
  5. Step 5: Solve for x
    x = 3,282,344,618.06/37,563
  6. Step 6: Final answer
    x = 87,382.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.