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Finding the Third Proportional to 13,671.50 and 19,550

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Solution

The third proportional to 13,671.50 and 19,550 is: 27,956.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,671.50 : 19,550 = 19,550 : x
  2. Step 2: Convert to fraction form
    13,671.50/19,550 = 19,550/x
  3. Step 3: Cross multiply
    13,671.50x = 19,550 × 19,550
  4. Step 4: Simplify right side
    13,671.50x = 382,202,500
  5. Step 5: Solve for x
    x = 382,202,500/13,671.50
  6. Step 6: Final answer
    x = 27,956.15

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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.