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Finding the Third Proportional to 5,374.69 and 11,784.66

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Solution

The third proportional to 5,374.69 and 11,784.66 is: 25,839.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,374.69 : 11,784.66 = 11,784.66 : x
  2. Step 2: Convert to fraction form
    5,374.69/11,784.66 = 11,784.66/x
  3. Step 3: Cross multiply
    5,374.69x = 11,784.66 × 11,784.66
  4. Step 4: Simplify right side
    5,374.69x = 138,878,122.93
  5. Step 5: Solve for x
    x = 138,878,122.93/5,374.69
  6. Step 6: Final answer
    x = 25,839.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.