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Finding the Third Proportional to 6,177 and 9,032.25

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Solution

The third proportional to 6,177 and 9,032.25 is: 13,207.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177 : 9,032.25 = 9,032.25 : x
  2. Step 2: Convert to fraction form
    6,177/9,032.25 = 9,032.25/x
  3. Step 3: Cross multiply
    6,177x = 9,032.25 × 9,032.25
  4. Step 4: Simplify right side
    6,177x = 81,581,540.06
  5. Step 5: Solve for x
    x = 81,581,540.06/6,177
  6. Step 6: Final answer
    x = 13,207.31

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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.