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Finding the Third Proportional to 13,647.94 and 21,702.94

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Solution

The third proportional to 13,647.94 and 21,702.94 is: 34,511.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,647.94 : 21,702.94 = 21,702.94 : x
  2. Step 2: Convert to fraction form
    13,647.94/21,702.94 = 21,702.94/x
  3. Step 3: Cross multiply
    13,647.94x = 21,702.94 × 21,702.94
  4. Step 4: Simplify right side
    13,647.94x = 471,017,496.13
  5. Step 5: Solve for x
    x = 471,017,496.13/13,647.94
  6. Step 6: Final answer
    x = 34,511.99

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.