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Finding the Third Proportional to 21,732.05 and 34,702.17

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Solution

The third proportional to 21,732.05 and 34,702.17 is: 55,413.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,732.05 : 34,702.17 = 34,702.17 : x
  2. Step 2: Convert to fraction form
    21,732.05/34,702.17 = 34,702.17/x
  3. Step 3: Cross multiply
    21,732.05x = 34,702.17 × 34,702.17
  4. Step 4: Simplify right side
    21,732.05x = 1,204,240,732.84
  5. Step 5: Solve for x
    x = 1,204,240,732.84/21,732.05
  6. Step 6: Final answer
    x = 55,413.13

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.