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Finding the Third Proportional to 9,267 and 19,988.25

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Solution

The third proportional to 9,267 and 19,988.25 is: 43,113.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,267 : 19,988.25 = 19,988.25 : x
  2. Step 2: Convert to fraction form
    9,267/19,988.25 = 19,988.25/x
  3. Step 3: Cross multiply
    9,267x = 19,988.25 × 19,988.25
  4. Step 4: Simplify right side
    9,267x = 399,530,138.06
  5. Step 5: Solve for x
    x = 399,530,138.06/9,267
  6. Step 6: Final answer
    x = 43,113.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.