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Finding the Third Proportional to 25,651.69 and 55,814.06

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Solution

The third proportional to 25,651.69 and 55,814.06 is: 121,442.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,651.69 : 55,814.06 = 55,814.06 : x
  2. Step 2: Convert to fraction form
    25,651.69/55,814.06 = 55,814.06/x
  3. Step 3: Cross multiply
    25,651.69x = 55,814.06 × 55,814.06
  4. Step 4: Simplify right side
    25,651.69x = 3,115,209,572.75
  5. Step 5: Solve for x
    x = 3,115,209,572.75/25,651.69
  6. Step 6: Final answer
    x = 121,442.68

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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.