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Finding the Third Proportional to 13,322 and 27,580

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Solution

The third proportional to 13,322 and 27,580 is: 57,097.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,322 : 27,580 = 27,580 : x
  2. Step 2: Convert to fraction form
    13,322/27,580 = 27,580/x
  3. Step 3: Cross multiply
    13,322x = 27,580 × 27,580
  4. Step 4: Simplify right side
    13,322x = 760,656,400
  5. Step 5: Solve for x
    x = 760,656,400/13,322
  6. Step 6: Final answer
    x = 57,097.76

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.