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Finding the Third Proportional to 22,322.25 and 29,777.63

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Solution

The third proportional to 22,322.25 and 29,777.63 is: 39,723.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,322.25 : 29,777.63 = 29,777.63 : x
  2. Step 2: Convert to fraction form
    22,322.25/29,777.63 = 29,777.63/x
  3. Step 3: Cross multiply
    22,322.25x = 29,777.63 × 29,777.63
  4. Step 4: Simplify right side
    22,322.25x = 886,706,950.64
  5. Step 5: Solve for x
    x = 886,706,950.64/22,322.25
  6. Step 6: Final answer
    x = 39,723.01

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.