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Finding the Third Proportional to 3,777.94 and 4,971.38

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Solution

The third proportional to 3,777.94 and 4,971.38 is: 6,541.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.94 : 4,971.38 = 4,971.38 : x
  2. Step 2: Convert to fraction form
    3,777.94/4,971.38 = 4,971.38/x
  3. Step 3: Cross multiply
    3,777.94x = 4,971.38 × 4,971.38
  4. Step 4: Simplify right side
    3,777.94x = 24,714,569.39
  5. Step 5: Solve for x
    x = 24,714,569.39/3,777.94
  6. Step 6: Final answer
    x = 6,541.82

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.