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Finding the Third Proportional to 19,473.75 and 27,847.13

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Solution

The third proportional to 19,473.75 and 27,847.13 is: 39,820.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,473.75 : 27,847.13 = 27,847.13 : x
  2. Step 2: Convert to fraction form
    19,473.75/27,847.13 = 27,847.13/x
  3. Step 3: Cross multiply
    19,473.75x = 27,847.13 × 27,847.13
  4. Step 4: Simplify right side
    19,473.75x = 775,462,370.77
  5. Step 5: Solve for x
    x = 775,462,370.77/19,473.75
  6. Step 6: Final answer
    x = 39,820.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.