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Finding the Third Proportional to 7,664.63 and 13,884.75

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Solution

The third proportional to 7,664.63 and 13,884.75 is: 25,152.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664.63 : 13,884.75 = 13,884.75 : x
  2. Step 2: Convert to fraction form
    7,664.63/13,884.75 = 13,884.75/x
  3. Step 3: Cross multiply
    7,664.63x = 13,884.75 × 13,884.75
  4. Step 4: Simplify right side
    7,664.63x = 192,786,282.56
  5. Step 5: Solve for x
    x = 192,786,282.56/7,664.63
  6. Step 6: Final answer
    x = 25,152.74

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.