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Finding the Third Proportional to 12,698 and 27,574

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Solution

The third proportional to 12,698 and 27,574 is: 59,877.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,698 : 27,574 = 27,574 : x
  2. Step 2: Convert to fraction form
    12,698/27,574 = 27,574/x
  3. Step 3: Cross multiply
    12,698x = 27,574 × 27,574
  4. Step 4: Simplify right side
    12,698x = 760,325,476
  5. Step 5: Solve for x
    x = 760,325,476/12,698
  6. Step 6: Final answer
    x = 59,877.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.