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Finding the Third Proportional to 36,981 and 56,841

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Solution

The third proportional to 36,981 and 56,841 is: 87,366.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,981 : 56,841 = 56,841 : x
  2. Step 2: Convert to fraction form
    36,981/56,841 = 56,841/x
  3. Step 3: Cross multiply
    36,981x = 56,841 × 56,841
  4. Step 4: Simplify right side
    36,981x = 3,230,899,281
  5. Step 5: Solve for x
    x = 3,230,899,281/36,981
  6. Step 6: Final answer
    x = 87,366.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.