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Finding the Third Proportional to 22,857.19 and 32,622.75

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Solution

The third proportional to 22,857.19 and 32,622.75 is: 46,560.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,857.19 : 32,622.75 = 32,622.75 : x
  2. Step 2: Convert to fraction form
    22,857.19/32,622.75 = 32,622.75/x
  3. Step 3: Cross multiply
    22,857.19x = 32,622.75 × 32,622.75
  4. Step 4: Simplify right side
    22,857.19x = 1,064,243,817.56
  5. Step 5: Solve for x
    x = 1,064,243,817.56/22,857.19
  6. Step 6: Final answer
    x = 46,560.58

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.