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Finding the Third Proportional to 5,490.84 and 11,975.63

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Solution

The third proportional to 5,490.84 and 11,975.63 is: 26,119.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,490.84 : 11,975.63 = 11,975.63 : x
  2. Step 2: Convert to fraction form
    5,490.84/11,975.63 = 11,975.63/x
  3. Step 3: Cross multiply
    5,490.84x = 11,975.63 × 11,975.63
  4. Step 4: Simplify right side
    5,490.84x = 143,415,594.14
  5. Step 5: Solve for x
    x = 143,415,594.14/5,490.84
  6. Step 6: Final answer
    x = 26,119.04

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.