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Finding the Third Proportional to 36,709.13 and 58,411.69

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Solution

The third proportional to 36,709.13 and 58,411.69 is: 92,944.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,709.13 : 58,411.69 = 58,411.69 : x
  2. Step 2: Convert to fraction form
    36,709.13/58,411.69 = 58,411.69/x
  3. Step 3: Cross multiply
    36,709.13x = 58,411.69 × 58,411.69
  4. Step 4: Simplify right side
    36,709.13x = 3,411,925,236.60
  5. Step 5: Solve for x
    x = 3,411,925,236.60/36,709.13
  6. Step 6: Final answer
    x = 92,944.88

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.