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Finding the Third Proportional to 17,280 and 27,509

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Solution

The third proportional to 17,280 and 27,509 is: 43,793.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,280 : 27,509 = 27,509 : x
  2. Step 2: Convert to fraction form
    17,280/27,509 = 27,509/x
  3. Step 3: Cross multiply
    17,280x = 27,509 × 27,509
  4. Step 4: Simplify right side
    17,280x = 756,745,081
  5. Step 5: Solve for x
    x = 756,745,081/17,280
  6. Step 6: Final answer
    x = 43,793.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.