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Finding the Third Proportional to 36,753.75 and 69,346.13

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Solution

The third proportional to 36,753.75 and 69,346.13 is: 130,840.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,753.75 : 69,346.13 = 69,346.13 : x
  2. Step 2: Convert to fraction form
    36,753.75/69,346.13 = 69,346.13/x
  3. Step 3: Cross multiply
    36,753.75x = 69,346.13 × 69,346.13
  4. Step 4: Simplify right side
    36,753.75x = 4,808,885,052.52
  5. Step 5: Solve for x
    x = 4,808,885,052.52/36,753.75
  6. Step 6: Final answer
    x = 130,840.66

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These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.