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Finding the Third Proportional to 21,583.31 and 32,825.06

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Solution

The third proportional to 21,583.31 and 32,825.06 is: 49,922.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,583.31 : 32,825.06 = 32,825.06 : x
  2. Step 2: Convert to fraction form
    21,583.31/32,825.06 = 32,825.06/x
  3. Step 3: Cross multiply
    21,583.31x = 32,825.06 × 32,825.06
  4. Step 4: Simplify right side
    21,583.31x = 1,077,484,728.13
  5. Step 5: Solve for x
    x = 1,077,484,728.13/21,583.31
  6. Step 6: Final answer
    x = 49,922.12

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.