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Finding the Third Proportional to 11,071.69 and 24,296.20

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Solution

The third proportional to 11,071.69 and 24,296.20 is: 53,316.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,071.69 : 24,296.20 = 24,296.20 : x
  2. Step 2: Convert to fraction form
    11,071.69/24,296.20 = 24,296.20/x
  3. Step 3: Cross multiply
    11,071.69x = 24,296.20 × 24,296.20
  4. Step 4: Simplify right side
    11,071.69x = 590,305,486.29
  5. Step 5: Solve for x
    x = 590,305,486.29/11,071.69
  6. Step 6: Final answer
    x = 53,316.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.