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Finding the Third Proportional to 37,964 and 56,635

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Solution

The third proportional to 37,964 and 56,635 is: 84,488.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,964 : 56,635 = 56,635 : x
  2. Step 2: Convert to fraction form
    37,964/56,635 = 56,635/x
  3. Step 3: Cross multiply
    37,964x = 56,635 × 56,635
  4. Step 4: Simplify right side
    37,964x = 3,207,523,225
  5. Step 5: Solve for x
    x = 3,207,523,225/37,964
  6. Step 6: Final answer
    x = 84,488.55

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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.