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Finding the Third Proportional to 19,001.81 and 43,984.69

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Solution

The third proportional to 19,001.81 and 43,984.69 is: 101,814.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,001.81 : 43,984.69 = 43,984.69 : x
  2. Step 2: Convert to fraction form
    19,001.81/43,984.69 = 43,984.69/x
  3. Step 3: Cross multiply
    19,001.81x = 43,984.69 × 43,984.69
  4. Step 4: Simplify right side
    19,001.81x = 1,934,652,734.47
  5. Step 5: Solve for x
    x = 1,934,652,734.47/19,001.81
  6. Step 6: Final answer
    x = 101,814.12

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.