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Finding the Third Proportional to 22,941.06 and 33,412.94

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Solution

The third proportional to 22,941.06 and 33,412.94 is: 48,664.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,941.06 : 33,412.94 = 33,412.94 : x
  2. Step 2: Convert to fraction form
    22,941.06/33,412.94 = 33,412.94/x
  3. Step 3: Cross multiply
    22,941.06x = 33,412.94 × 33,412.94
  4. Step 4: Simplify right side
    22,941.06x = 1,116,424,392.38
  5. Step 5: Solve for x
    x = 1,116,424,392.38/22,941.06
  6. Step 6: Final answer
    x = 48,664.89

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.