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Finding the Third Proportional to 5,784.75 and 14,392.69

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Solution

The third proportional to 5,784.75 and 14,392.69 is: 35,809.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.75 : 14,392.69 = 14,392.69 : x
  2. Step 2: Convert to fraction form
    5,784.75/14,392.69 = 14,392.69/x
  3. Step 3: Cross multiply
    5,784.75x = 14,392.69 × 14,392.69
  4. Step 4: Simplify right side
    5,784.75x = 207,149,453.47
  5. Step 5: Solve for x
    x = 207,149,453.47/5,784.75
  6. Step 6: Final answer
    x = 35,809.58

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Why These Related Problems?

These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.