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Finding the Third Proportional to 22,833.75 and 35,828.63

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Solution

The third proportional to 22,833.75 and 35,828.63 is: 56,218.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,833.75 : 35,828.63 = 35,828.63 : x
  2. Step 2: Convert to fraction form
    22,833.75/35,828.63 = 35,828.63/x
  3. Step 3: Cross multiply
    22,833.75x = 35,828.63 × 35,828.63
  4. Step 4: Simplify right side
    22,833.75x = 1,283,690,369.39
  5. Step 5: Solve for x
    x = 1,283,690,369.39/22,833.75
  6. Step 6: Final answer
    x = 56,218.99

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.