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Finding the Third Proportional to 21,822.75 and 34,610.63

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Solution

The third proportional to 21,822.75 and 34,610.63 is: 54,892.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,822.75 : 34,610.63 = 34,610.63 : x
  2. Step 2: Convert to fraction form
    21,822.75/34,610.63 = 34,610.63/x
  3. Step 3: Cross multiply
    21,822.75x = 34,610.63 × 34,610.63
  4. Step 4: Simplify right side
    21,822.75x = 1,197,895,362.89
  5. Step 5: Solve for x
    x = 1,197,895,362.89/21,822.75
  6. Step 6: Final answer
    x = 54,892.04

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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.