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Finding the Third Proportional to 17,463 and 27,652.50

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Solution

The third proportional to 17,463 and 27,652.50 is: 43,787.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,463 : 27,652.50 = 27,652.50 : x
  2. Step 2: Convert to fraction form
    17,463/27,652.50 = 27,652.50/x
  3. Step 3: Cross multiply
    17,463x = 27,652.50 × 27,652.50
  4. Step 4: Simplify right side
    17,463x = 764,660,756.25
  5. Step 5: Solve for x
    x = 764,660,756.25/17,463
  6. Step 6: Final answer
    x = 43,787.48

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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.