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Finding the Third Proportional to 14,702.25 and 22,188.75

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Solution

The third proportional to 14,702.25 and 22,188.75 is: 33,487.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,702.25 : 22,188.75 = 22,188.75 : x
  2. Step 2: Convert to fraction form
    14,702.25/22,188.75 = 22,188.75/x
  3. Step 3: Cross multiply
    14,702.25x = 22,188.75 × 22,188.75
  4. Step 4: Simplify right side
    14,702.25x = 492,340,626.56
  5. Step 5: Solve for x
    x = 492,340,626.56/14,702.25
  6. Step 6: Final answer
    x = 33,487.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.