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Finding the Third Proportional to 13,509 and 19,293.75

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Solution

The third proportional to 13,509 and 19,293.75 is: 27,555.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509 : 19,293.75 = 19,293.75 : x
  2. Step 2: Convert to fraction form
    13,509/19,293.75 = 19,293.75/x
  3. Step 3: Cross multiply
    13,509x = 19,293.75 × 19,293.75
  4. Step 4: Simplify right side
    13,509x = 372,248,789.06
  5. Step 5: Solve for x
    x = 372,248,789.06/13,509
  6. Step 6: Final answer
    x = 27,555.61

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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.