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Finding the Third Proportional to 37,384 and 56,240

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Solution

The third proportional to 37,384 and 56,240 is: 84,606.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,384 : 56,240 = 56,240 : x
  2. Step 2: Convert to fraction form
    37,384/56,240 = 56,240/x
  3. Step 3: Cross multiply
    37,384x = 56,240 × 56,240
  4. Step 4: Simplify right side
    37,384x = 3,162,937,600
  5. Step 5: Solve for x
    x = 3,162,937,600/37,384
  6. Step 6: Final answer
    x = 84,606.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.