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Finding the Third Proportional to 38,334 and 52,786

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Solution

The third proportional to 38,334 and 52,786 is: 72,686.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,334 : 52,786 = 52,786 : x
  2. Step 2: Convert to fraction form
    38,334/52,786 = 52,786/x
  3. Step 3: Cross multiply
    38,334x = 52,786 × 52,786
  4. Step 4: Simplify right side
    38,334x = 2,786,361,796
  5. Step 5: Solve for x
    x = 2,786,361,796/38,334
  6. Step 6: Final answer
    x = 72,686.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.