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Finding the Third Proportional to 21,809.25 and 29,570.06

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Solution

The third proportional to 21,809.25 and 29,570.06 is: 40,092.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,809.25 : 29,570.06 = 29,570.06 : x
  2. Step 2: Convert to fraction form
    21,809.25/29,570.06 = 29,570.06/x
  3. Step 3: Cross multiply
    21,809.25x = 29,570.06 × 29,570.06
  4. Step 4: Simplify right side
    21,809.25x = 874,388,596.25
  5. Step 5: Solve for x
    x = 874,388,596.25/21,809.25
  6. Step 6: Final answer
    x = 40,092.56

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.