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Finding the Third Proportional to 10,103.06 and 13,591.13

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Solution

The third proportional to 10,103.06 and 13,591.13 is: 18,283.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,103.06 : 13,591.13 = 13,591.13 : x
  2. Step 2: Convert to fraction form
    10,103.06/13,591.13 = 13,591.13/x
  3. Step 3: Cross multiply
    10,103.06x = 13,591.13 × 13,591.13
  4. Step 4: Simplify right side
    10,103.06x = 184,718,678.77
  5. Step 5: Solve for x
    x = 184,718,678.77/10,103.06
  6. Step 6: Final answer
    x = 18,283.43

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.