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Finding the Third Proportional to 3,477.94 and 4,781.53

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Solution

The third proportional to 3,477.94 and 4,781.53 is: 6,573.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.94 : 4,781.53 = 4,781.53 : x
  2. Step 2: Convert to fraction form
    3,477.94/4,781.53 = 4,781.53/x
  3. Step 3: Cross multiply
    3,477.94x = 4,781.53 × 4,781.53
  4. Step 4: Simplify right side
    3,477.94x = 22,863,041.09
  5. Step 5: Solve for x
    x = 22,863,041.09/3,477.94
  6. Step 6: Final answer
    x = 6,573.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.