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Finding the Third Proportional to 17,107.50 and 26,283

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Solution

The third proportional to 17,107.50 and 26,283 is: 40,379.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,107.50 : 26,283 = 26,283 : x
  2. Step 2: Convert to fraction form
    17,107.50/26,283 = 26,283/x
  3. Step 3: Cross multiply
    17,107.50x = 26,283 × 26,283
  4. Step 4: Simplify right side
    17,107.50x = 690,796,089
  5. Step 5: Solve for x
    x = 690,796,089/17,107.50
  6. Step 6: Final answer
    x = 40,379.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.