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Finding the Third Proportional to 6,093 and 9,113.63

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Solution

The third proportional to 6,093 and 9,113.63 is: 13,631.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093 : 9,113.63 = 9,113.63 : x
  2. Step 2: Convert to fraction form
    6,093/9,113.63 = 9,113.63/x
  3. Step 3: Cross multiply
    6,093x = 9,113.63 × 9,113.63
  4. Step 4: Simplify right side
    6,093x = 83,058,160.64
  5. Step 5: Solve for x
    x = 83,058,160.64/6,093
  6. Step 6: Final answer
    x = 13,631.73

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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.