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Finding the Third Proportional to 17,463 and 26,743.50

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Solution

The third proportional to 17,463 and 26,743.50 is: 40,956.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,463 : 26,743.50 = 26,743.50 : x
  2. Step 2: Convert to fraction form
    17,463/26,743.50 = 26,743.50/x
  3. Step 3: Cross multiply
    17,463x = 26,743.50 × 26,743.50
  4. Step 4: Simplify right side
    17,463x = 715,214,792.25
  5. Step 5: Solve for x
    x = 715,214,792.25/17,463
  6. Step 6: Final answer
    x = 40,956.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.