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Finding the Third Proportional to 11,300.29 and 24,609.60

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Solution

The third proportional to 11,300.29 and 24,609.60 is: 53,594.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,300.29 : 24,609.60 = 24,609.60 : x
  2. Step 2: Convert to fraction form
    11,300.29/24,609.60 = 24,609.60/x
  3. Step 3: Cross multiply
    11,300.29x = 24,609.60 × 24,609.60
  4. Step 4: Simplify right side
    11,300.29x = 605,632,585.20
  5. Step 5: Solve for x
    x = 605,632,585.20/11,300.29
  6. Step 6: Final answer
    x = 53,594.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.