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Finding the Third Proportional to 7,584.75 and 14,784.75

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Solution

The third proportional to 7,584.75 and 14,784.75 is: 28,819.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,584.75 : 14,784.75 = 14,784.75 : x
  2. Step 2: Convert to fraction form
    7,584.75/14,784.75 = 14,784.75/x
  3. Step 3: Cross multiply
    7,584.75x = 14,784.75 × 14,784.75
  4. Step 4: Simplify right side
    7,584.75x = 218,588,832.56
  5. Step 5: Solve for x
    x = 218,588,832.56/7,584.75
  6. Step 6: Final answer
    x = 28,819.52

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.