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Finding the Third Proportional to 24,071.63 and 49,676.63

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Solution

The third proportional to 24,071.63 and 49,676.63 is: 102,517.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,071.63 : 49,676.63 = 49,676.63 : x
  2. Step 2: Convert to fraction form
    24,071.63/49,676.63 = 49,676.63/x
  3. Step 3: Cross multiply
    24,071.63x = 49,676.63 × 49,676.63
  4. Step 4: Simplify right side
    24,071.63x = 2,467,767,071.39
  5. Step 5: Solve for x
    x = 2,467,767,071.39/24,071.63
  6. Step 6: Final answer
    x = 102,517.68

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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.