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Finding the Third Proportional to 17,344 and 27,437.75

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Solution

The third proportional to 17,344 and 27,437.75 is: 43,405.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,344 : 27,437.75 = 27,437.75 : x
  2. Step 2: Convert to fraction form
    17,344/27,437.75 = 27,437.75/x
  3. Step 3: Cross multiply
    17,344x = 27,437.75 × 27,437.75
  4. Step 4: Simplify right side
    17,344x = 752,830,125.06
  5. Step 5: Solve for x
    x = 752,830,125.06/17,344
  6. Step 6: Final answer
    x = 43,405.80

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.