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Finding the Third Proportional to 13,478.91 and 27,618.47

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Solution

The third proportional to 13,478.91 and 27,618.47 is: 56,590.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478.91 : 27,618.47 = 27,618.47 : x
  2. Step 2: Convert to fraction form
    13,478.91/27,618.47 = 27,618.47/x
  3. Step 3: Cross multiply
    13,478.91x = 27,618.47 × 27,618.47
  4. Step 4: Simplify right side
    13,478.91x = 762,779,816.09
  5. Step 5: Solve for x
    x = 762,779,816.09/13,478.91
  6. Step 6: Final answer
    x = 56,590.63

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.