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Finding the Third Proportional to 49,001.63 and 73,310.63

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Solution

The third proportional to 49,001.63 and 73,310.63 is: 109,678.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,001.63 : 73,310.63 = 73,310.63 : x
  2. Step 2: Convert to fraction form
    49,001.63/73,310.63 = 73,310.63/x
  3. Step 3: Cross multiply
    49,001.63x = 73,310.63 × 73,310.63
  4. Step 4: Simplify right side
    49,001.63x = 5,374,447,737.89
  5. Step 5: Solve for x
    x = 5,374,447,737.89/49,001.63
  6. Step 6: Final answer
    x = 109,678.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.