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Finding the Third Proportional to 23,309.44 and 49,663.13

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Solution

The third proportional to 23,309.44 and 49,663.13 is: 105,812.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,309.44 : 49,663.13 = 49,663.13 : x
  2. Step 2: Convert to fraction form
    23,309.44/49,663.13 = 49,663.13/x
  3. Step 3: Cross multiply
    23,309.44x = 49,663.13 × 49,663.13
  4. Step 4: Simplify right side
    23,309.44x = 2,466,425,984.77
  5. Step 5: Solve for x
    x = 2,466,425,984.77/23,309.44
  6. Step 6: Final answer
    x = 105,812.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.