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Finding the Third Proportional to 9,613.69 and 22,906.55

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Solution

The third proportional to 9,613.69 and 22,906.55 is: 54,579.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613.69 : 22,906.55 = 22,906.55 : x
  2. Step 2: Convert to fraction form
    9,613.69/22,906.55 = 22,906.55/x
  3. Step 3: Cross multiply
    9,613.69x = 22,906.55 × 22,906.55
  4. Step 4: Simplify right side
    9,613.69x = 524,709,889.74
  5. Step 5: Solve for x
    x = 524,709,889.74/9,613.69
  6. Step 6: Final answer
    x = 54,579.46

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.