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Finding the Third Proportional to 17,030.25 and 25,551

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Solution

The third proportional to 17,030.25 and 25,551 is: 38,334.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,030.25 : 25,551 = 25,551 : x
  2. Step 2: Convert to fraction form
    17,030.25/25,551 = 25,551/x
  3. Step 3: Cross multiply
    17,030.25x = 25,551 × 25,551
  4. Step 4: Simplify right side
    17,030.25x = 652,853,601
  5. Step 5: Solve for x
    x = 652,853,601/17,030.25
  6. Step 6: Final answer
    x = 38,334.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.