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Finding the Third Proportional to 13,698 and 19,575

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Solution

The third proportional to 13,698 and 19,575 is: 27,973.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698 : 19,575 = 19,575 : x
  2. Step 2: Convert to fraction form
    13,698/19,575 = 19,575/x
  3. Step 3: Cross multiply
    13,698x = 19,575 × 19,575
  4. Step 4: Simplify right side
    13,698x = 383,180,625
  5. Step 5: Solve for x
    x = 383,180,625/13,698
  6. Step 6: Final answer
    x = 27,973.47

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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.