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Finding the Third Proportional to 9,627.93 and 12,993.86

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Solution

The third proportional to 9,627.93 and 12,993.86 is: 17,536.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627.93 : 12,993.86 = 12,993.86 : x
  2. Step 2: Convert to fraction form
    9,627.93/12,993.86 = 12,993.86/x
  3. Step 3: Cross multiply
    9,627.93x = 12,993.86 × 12,993.86
  4. Step 4: Simplify right side
    9,627.93x = 168,840,279.94
  5. Step 5: Solve for x
    x = 168,840,279.94/9,627.93
  6. Step 6: Final answer
    x = 17,536.52

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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.