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Finding the Third Proportional to 37,293 and 56,299.50

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Solution

The third proportional to 37,293 and 56,299.50 is: 84,992.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,293 : 56,299.50 = 56,299.50 : x
  2. Step 2: Convert to fraction form
    37,293/56,299.50 = 56,299.50/x
  3. Step 3: Cross multiply
    37,293x = 56,299.50 × 56,299.50
  4. Step 4: Simplify right side
    37,293x = 3,169,633,700.25
  5. Step 5: Solve for x
    x = 3,169,633,700.25/37,293
  6. Step 6: Final answer
    x = 84,992.73

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.