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Finding the Third Proportional to 45,496.69 and 69,832.13

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Solution

The third proportional to 45,496.69 and 69,832.13 is: 107,184.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,496.69 : 69,832.13 = 69,832.13 : x
  2. Step 2: Convert to fraction form
    45,496.69/69,832.13 = 69,832.13/x
  3. Step 3: Cross multiply
    45,496.69x = 69,832.13 × 69,832.13
  4. Step 4: Simplify right side
    45,496.69x = 4,876,525,682.02
  5. Step 5: Solve for x
    x = 4,876,525,682.02/45,496.69
  6. Step 6: Final answer
    x = 107,184.19

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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.