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Finding the Third Proportional to 5,476.78 and 11,816.72

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Solution

The third proportional to 5,476.78 and 11,816.72 is: 25,495.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,476.78 : 11,816.72 = 11,816.72 : x
  2. Step 2: Convert to fraction form
    5,476.78/11,816.72 = 11,816.72/x
  3. Step 3: Cross multiply
    5,476.78x = 11,816.72 × 11,816.72
  4. Step 4: Simplify right side
    5,476.78x = 139,634,842.02
  5. Step 5: Solve for x
    x = 139,634,842.02/5,476.78
  6. Step 6: Final answer
    x = 25,495.79

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.