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Finding the Third Proportional to 22,545 and 34,905.38

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Solution

The third proportional to 22,545 and 34,905.38 is: 54,042.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,545 : 34,905.38 = 34,905.38 : x
  2. Step 2: Convert to fraction form
    22,545/34,905.38 = 34,905.38/x
  3. Step 3: Cross multiply
    22,545x = 34,905.38 × 34,905.38
  4. Step 4: Simplify right side
    22,545x = 1,218,385,203.89
  5. Step 5: Solve for x
    x = 1,218,385,203.89/22,545
  6. Step 6: Final answer
    x = 54,042.37

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.