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Finding the Third Proportional to 37,964.38 and 56,638.69

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Solution

The third proportional to 37,964.38 and 56,638.69 is: 84,498.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,964.38 : 56,638.69 = 56,638.69 : x
  2. Step 2: Convert to fraction form
    37,964.38/56,638.69 = 56,638.69/x
  3. Step 3: Cross multiply
    37,964.38x = 56,638.69 × 56,638.69
  4. Step 4: Simplify right side
    37,964.38x = 3,207,940,921.72
  5. Step 5: Solve for x
    x = 3,207,940,921.72/37,964.38
  6. Step 6: Final answer
    x = 84,498.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.