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Finding the Third Proportional to 22,978.69 and 51,409.69

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Solution

The third proportional to 22,978.69 and 51,409.69 is: 115,017.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,978.69 : 51,409.69 = 51,409.69 : x
  2. Step 2: Convert to fraction form
    22,978.69/51,409.69 = 51,409.69/x
  3. Step 3: Cross multiply
    22,978.69x = 51,409.69 × 51,409.69
  4. Step 4: Simplify right side
    22,978.69x = 2,642,955,968.85
  5. Step 5: Solve for x
    x = 2,642,955,968.85/22,978.69
  6. Step 6: Final answer
    x = 115,017.71

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These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.