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Finding the Third Proportional to 5,998.88 and 9,584.25

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Solution

The third proportional to 5,998.88 and 9,584.25 is: 15,312.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,998.88 : 9,584.25 = 9,584.25 : x
  2. Step 2: Convert to fraction form
    5,998.88/9,584.25 = 9,584.25/x
  3. Step 3: Cross multiply
    5,998.88x = 9,584.25 × 9,584.25
  4. Step 4: Simplify right side
    5,998.88x = 91,857,848.06
  5. Step 5: Solve for x
    x = 91,857,848.06/5,998.88
  6. Step 6: Final answer
    x = 15,312.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.