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Finding the Third Proportional to 13,952.25 and 21,702.94

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Solution

The third proportional to 13,952.25 and 21,702.94 is: 33,759.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,952.25 : 21,702.94 = 21,702.94 : x
  2. Step 2: Convert to fraction form
    13,952.25/21,702.94 = 21,702.94/x
  3. Step 3: Cross multiply
    13,952.25x = 21,702.94 × 21,702.94
  4. Step 4: Simplify right side
    13,952.25x = 471,017,496.13
  5. Step 5: Solve for x
    x = 471,017,496.13/13,952.25
  6. Step 6: Final answer
    x = 33,759.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.