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Finding the Third Proportional to 14,509.13 and 19,323.56

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Solution

The third proportional to 14,509.13 and 19,323.56 is: 25,735.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,509.13 : 19,323.56 = 19,323.56 : x
  2. Step 2: Convert to fraction form
    14,509.13/19,323.56 = 19,323.56/x
  3. Step 3: Cross multiply
    14,509.13x = 19,323.56 × 19,323.56
  4. Step 4: Simplify right side
    14,509.13x = 373,400,067.69
  5. Step 5: Solve for x
    x = 373,400,067.69/14,509.13
  6. Step 6: Final answer
    x = 25,735.53

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.