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Finding the Third Proportional to 13,570 and 19,483

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Solution

The third proportional to 13,570 and 19,483 is: 27,972.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,570 : 19,483 = 19,483 : x
  2. Step 2: Convert to fraction form
    13,570/19,483 = 19,483/x
  3. Step 3: Cross multiply
    13,570x = 19,483 × 19,483
  4. Step 4: Simplify right side
    13,570x = 379,587,289
  5. Step 5: Solve for x
    x = 379,587,289/13,570
  6. Step 6: Final answer
    x = 27,972.53

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.