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Finding the Third Proportional to 3,584.63 and 7,857.75

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Solution

The third proportional to 3,584.63 and 7,857.75 is: 17,224.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.63 : 7,857.75 = 7,857.75 : x
  2. Step 2: Convert to fraction form
    3,584.63/7,857.75 = 7,857.75/x
  3. Step 3: Cross multiply
    3,584.63x = 7,857.75 × 7,857.75
  4. Step 4: Simplify right side
    3,584.63x = 61,744,235.06
  5. Step 5: Solve for x
    x = 61,744,235.06/3,584.63
  6. Step 6: Final answer
    x = 17,224.74

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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.