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Finding the Third Proportional to 24,068.81 and 49,671.56

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Solution

The third proportional to 24,068.81 and 49,671.56 is: 102,508.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,068.81 : 49,671.56 = 49,671.56 : x
  2. Step 2: Convert to fraction form
    24,068.81/49,671.56 = 49,671.56/x
  3. Step 3: Cross multiply
    24,068.81x = 49,671.56 × 49,671.56
  4. Step 4: Simplify right side
    24,068.81x = 2,467,264,121.19
  5. Step 5: Solve for x
    x = 2,467,264,121.19/24,068.81
  6. Step 6: Final answer
    x = 102,508.76

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.