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Finding the Third Proportional to 23,491.69 and 48,927.38

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Solution

The third proportional to 23,491.69 and 48,927.38 is: 101,903.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,491.69 : 48,927.38 = 48,927.38 : x
  2. Step 2: Convert to fraction form
    23,491.69/48,927.38 = 48,927.38/x
  3. Step 3: Cross multiply
    23,491.69x = 48,927.38 × 48,927.38
  4. Step 4: Simplify right side
    23,491.69x = 2,393,888,024.39
  5. Step 5: Solve for x
    x = 2,393,888,024.39/23,491.69
  6. Step 6: Final answer
    x = 101,903.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.