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Finding the Third Proportional to 19,009.69 and 27,380.53

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Solution

The third proportional to 19,009.69 and 27,380.53 is: 39,437.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,009.69 : 27,380.53 = 27,380.53 : x
  2. Step 2: Convert to fraction form
    19,009.69/27,380.53 = 27,380.53/x
  3. Step 3: Cross multiply
    19,009.69x = 27,380.53 × 27,380.53
  4. Step 4: Simplify right side
    19,009.69x = 749,693,491.53
  5. Step 5: Solve for x
    x = 749,693,491.53/19,009.69
  6. Step 6: Final answer
    x = 39,437.44

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.