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Finding the Third Proportional to 6,135 and 9,203

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Solution

The third proportional to 6,135 and 9,203 is: 13,805.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,135 : 9,203 = 9,203 : x
  2. Step 2: Convert to fraction form
    6,135/9,203 = 9,203/x
  3. Step 3: Cross multiply
    6,135x = 9,203 × 9,203
  4. Step 4: Simplify right side
    6,135x = 84,695,209
  5. Step 5: Solve for x
    x = 84,695,209/6,135
  6. Step 6: Final answer
    x = 13,805.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.