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Finding the Third Proportional to 35,378.44 and 54,585.56

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Solution

The third proportional to 35,378.44 and 54,585.56 is: 84,220.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,378.44 : 54,585.56 = 54,585.56 : x
  2. Step 2: Convert to fraction form
    35,378.44/54,585.56 = 54,585.56/x
  3. Step 3: Cross multiply
    35,378.44x = 54,585.56 × 54,585.56
  4. Step 4: Simplify right side
    35,378.44x = 2,979,583,633.44
  5. Step 5: Solve for x
    x = 2,979,583,633.44/35,378.44
  6. Step 6: Final answer
    x = 84,220.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.