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Finding the Third Proportional to 9,218.25 and 13,502.25

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Solution

The third proportional to 9,218.25 and 13,502.25 is: 19,777.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,218.25 : 13,502.25 = 13,502.25 : x
  2. Step 2: Convert to fraction form
    9,218.25/13,502.25 = 13,502.25/x
  3. Step 3: Cross multiply
    9,218.25x = 13,502.25 × 13,502.25
  4. Step 4: Simplify right side
    9,218.25x = 182,310,755.06
  5. Step 5: Solve for x
    x = 182,310,755.06/9,218.25
  6. Step 6: Final answer
    x = 19,777.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.