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Finding the Third Proportional to 3,854 and 5,457

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Solution

The third proportional to 3,854 and 5,457 is: 7,726.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854 : 5,457 = 5,457 : x
  2. Step 2: Convert to fraction form
    3,854/5,457 = 5,457/x
  3. Step 3: Cross multiply
    3,854x = 5,457 × 5,457
  4. Step 4: Simplify right side
    3,854x = 29,778,849
  5. Step 5: Solve for x
    x = 29,778,849/3,854
  6. Step 6: Final answer
    x = 7,726.74

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.