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Finding the Third Proportional to 35,224.56 and 54,477.56

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Solution

The third proportional to 35,224.56 and 54,477.56 is: 84,253.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,224.56 : 54,477.56 = 54,477.56 : x
  2. Step 2: Convert to fraction form
    35,224.56/54,477.56 = 54,477.56/x
  3. Step 3: Cross multiply
    35,224.56x = 54,477.56 × 54,477.56
  4. Step 4: Simplify right side
    35,224.56x = 2,967,804,815.94
  5. Step 5: Solve for x
    x = 2,967,804,815.94/35,224.56
  6. Step 6: Final answer
    x = 84,253.85

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Why These Related Problems?

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