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Finding the Third Proportional to 3,477.94 and 4,538.53

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Solution

The third proportional to 3,477.94 and 4,538.53 is: 5,922.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.94 : 4,538.53 = 4,538.53 : x
  2. Step 2: Convert to fraction form
    3,477.94/4,538.53 = 4,538.53/x
  3. Step 3: Cross multiply
    3,477.94x = 4,538.53 × 4,538.53
  4. Step 4: Simplify right side
    3,477.94x = 20,598,265.91
  5. Step 5: Solve for x
    x = 20,598,265.91/3,477.94
  6. Step 6: Final answer
    x = 5,922.55

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.