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Finding the Third Proportional to 6,179.63 and 9,322.88

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Solution

The third proportional to 6,179.63 and 9,322.88 is: 14,064.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,179.63 : 9,322.88 = 9,322.88 : x
  2. Step 2: Convert to fraction form
    6,179.63/9,322.88 = 9,322.88/x
  3. Step 3: Cross multiply
    6,179.63x = 9,322.88 × 9,322.88
  4. Step 4: Simplify right side
    6,179.63x = 86,915,998.27
  5. Step 5: Solve for x
    x = 86,915,998.27/6,179.63
  6. Step 6: Final answer
    x = 14,064.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.