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Finding the Third Proportional to 14,843.25 and 21,702.94

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Solution

The third proportional to 14,843.25 and 21,702.94 is: 31,732.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,843.25 : 21,702.94 = 21,702.94 : x
  2. Step 2: Convert to fraction form
    14,843.25/21,702.94 = 21,702.94/x
  3. Step 3: Cross multiply
    14,843.25x = 21,702.94 × 21,702.94
  4. Step 4: Simplify right side
    14,843.25x = 471,017,496.13
  5. Step 5: Solve for x
    x = 471,017,496.13/14,843.25
  6. Step 6: Final answer
    x = 31,732.77

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.