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Finding the Third Proportional to 17,019 and 25,285.50

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Solution

The third proportional to 17,019 and 25,285.50 is: 37,567.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,019 : 25,285.50 = 25,285.50 : x
  2. Step 2: Convert to fraction form
    17,019/25,285.50 = 25,285.50/x
  3. Step 3: Cross multiply
    17,019x = 25,285.50 × 25,285.50
  4. Step 4: Simplify right side
    17,019x = 639,356,510.25
  5. Step 5: Solve for x
    x = 639,356,510.25/17,019
  6. Step 6: Final answer
    x = 37,567.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.