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Finding the Third Proportional to 10,243.88 and 22,349.63

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Solution

The third proportional to 10,243.88 and 22,349.63 is: 48,761.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,243.88 : 22,349.63 = 22,349.63 : x
  2. Step 2: Convert to fraction form
    10,243.88/22,349.63 = 22,349.63/x
  3. Step 3: Cross multiply
    10,243.88x = 22,349.63 × 22,349.63
  4. Step 4: Simplify right side
    10,243.88x = 499,505,737.64
  5. Step 5: Solve for x
    x = 499,505,737.64/10,243.88
  6. Step 6: Final answer
    x = 48,761.40

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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.