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Finding the Third Proportional to 21,746.25 and 34,563.38

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Solution

The third proportional to 21,746.25 and 34,563.38 is: 54,934.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,746.25 : 34,563.38 = 34,563.38 : x
  2. Step 2: Convert to fraction form
    21,746.25/34,563.38 = 34,563.38/x
  3. Step 3: Cross multiply
    21,746.25x = 34,563.38 × 34,563.38
  4. Step 4: Simplify right side
    21,746.25x = 1,194,626,891.39
  5. Step 5: Solve for x
    x = 1,194,626,891.39/21,746.25
  6. Step 6: Final answer
    x = 54,934.85

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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.