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Finding the Third Proportional to 13,100 and 27,820

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Solution

The third proportional to 13,100 and 27,820 is: 59,080.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,100 : 27,820 = 27,820 : x
  2. Step 2: Convert to fraction form
    13,100/27,820 = 27,820/x
  3. Step 3: Cross multiply
    13,100x = 27,820 × 27,820
  4. Step 4: Simplify right side
    13,100x = 773,952,400
  5. Step 5: Solve for x
    x = 773,952,400/13,100
  6. Step 6: Final answer
    x = 59,080.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.