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Finding the Third Proportional to 38,135.81 and 59,049

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Solution

The third proportional to 38,135.81 and 59,049 is: 91,430.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,135.81 : 59,049 = 59,049 : x
  2. Step 2: Convert to fraction form
    38,135.81/59,049 = 59,049/x
  3. Step 3: Cross multiply
    38,135.81x = 59,049 × 59,049
  4. Step 4: Simplify right side
    38,135.81x = 3,486,784,401
  5. Step 5: Solve for x
    x = 3,486,784,401/38,135.81
  6. Step 6: Final answer
    x = 91,430.71

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.