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Finding the Third Proportional to 13,590 and 19,293

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Solution

The third proportional to 13,590 and 19,293 is: 27,389.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,590 : 19,293 = 19,293 : x
  2. Step 2: Convert to fraction form
    13,590/19,293 = 19,293/x
  3. Step 3: Cross multiply
    13,590x = 19,293 × 19,293
  4. Step 4: Simplify right side
    13,590x = 372,219,849
  5. Step 5: Solve for x
    x = 372,219,849/13,590
  6. Step 6: Final answer
    x = 27,389.25

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.