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Finding the Third Proportional to 38,000 and 56,786

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Solution

The third proportional to 38,000 and 56,786 is: 84,859.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,000 : 56,786 = 56,786 : x
  2. Step 2: Convert to fraction form
    38,000/56,786 = 56,786/x
  3. Step 3: Cross multiply
    38,000x = 56,786 × 56,786
  4. Step 4: Simplify right side
    38,000x = 3,224,649,796
  5. Step 5: Solve for x
    x = 3,224,649,796/38,000
  6. Step 6: Final answer
    x = 84,859.21

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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.