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Finding the Third Proportional to 13,907.25 and 30,817.38

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Solution

The third proportional to 13,907.25 and 30,817.38 is: 68,288.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907.25 : 30,817.38 = 30,817.38 : x
  2. Step 2: Convert to fraction form
    13,907.25/30,817.38 = 30,817.38/x
  3. Step 3: Cross multiply
    13,907.25x = 30,817.38 × 30,817.38
  4. Step 4: Simplify right side
    13,907.25x = 949,710,601.89
  5. Step 5: Solve for x
    x = 949,710,601.89/13,907.25
  6. Step 6: Final answer
    x = 68,288.89

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.