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Finding the Third Proportional to 9,613.69 and 12,856.22

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Solution

The third proportional to 9,613.69 and 12,856.22 is: 17,192.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613.69 : 12,856.22 = 12,856.22 : x
  2. Step 2: Convert to fraction form
    9,613.69/12,856.22 = 12,856.22/x
  3. Step 3: Cross multiply
    9,613.69x = 12,856.22 × 12,856.22
  4. Step 4: Simplify right side
    9,613.69x = 165,282,360.55
  5. Step 5: Solve for x
    x = 165,282,360.55/9,613.69
  6. Step 6: Final answer
    x = 17,192.40

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.