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Finding the Third Proportional to 12,100 and 17,880

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Solution

The third proportional to 12,100 and 17,880 is: 26,421.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,100 : 17,880 = 17,880 : x
  2. Step 2: Convert to fraction form
    12,100/17,880 = 17,880/x
  3. Step 3: Cross multiply
    12,100x = 17,880 × 17,880
  4. Step 4: Simplify right side
    12,100x = 319,694,400
  5. Step 5: Solve for x
    x = 319,694,400/12,100
  6. Step 6: Final answer
    x = 26,421.02

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.