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Finding the Third Proportional to 38,362 and 58,786

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Solution

The third proportional to 38,362 and 58,786 is: 90,083.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,362 : 58,786 = 58,786 : x
  2. Step 2: Convert to fraction form
    38,362/58,786 = 58,786/x
  3. Step 3: Cross multiply
    38,362x = 58,786 × 58,786
  4. Step 4: Simplify right side
    38,362x = 3,455,793,796
  5. Step 5: Solve for x
    x = 3,455,793,796/38,362
  6. Step 6: Final answer
    x = 90,083.78

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.