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Finding the Third Proportional to 13,590 and 19,389

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Solution

The third proportional to 13,590 and 19,389 is: 27,662.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,590 : 19,389 = 19,389 : x
  2. Step 2: Convert to fraction form
    13,590/19,389 = 19,389/x
  3. Step 3: Cross multiply
    13,590x = 19,389 × 19,389
  4. Step 4: Simplify right side
    13,590x = 375,933,321
  5. Step 5: Solve for x
    x = 375,933,321/13,590
  6. Step 6: Final answer
    x = 27,662.50

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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.