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Finding the Third Proportional to 11,071.69 and 24,132.82

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Solution

The third proportional to 11,071.69 and 24,132.82 is: 52,602.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,071.69 : 24,132.82 = 24,132.82 : x
  2. Step 2: Convert to fraction form
    11,071.69/24,132.82 = 24,132.82/x
  3. Step 3: Cross multiply
    11,071.69x = 24,132.82 × 24,132.82
  4. Step 4: Simplify right side
    11,071.69x = 582,392,945.53
  5. Step 5: Solve for x
    x = 582,392,945.53/11,071.69
  6. Step 6: Final answer
    x = 52,602.00

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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.