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Finding the Third Proportional to 2,046 and 3,957

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Solution

The third proportional to 2,046 and 3,957 is: 7,652.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046 : 3,957 = 3,957 : x
  2. Step 2: Convert to fraction form
    2,046/3,957 = 3,957/x
  3. Step 3: Cross multiply
    2,046x = 3,957 × 3,957
  4. Step 4: Simplify right side
    2,046x = 15,657,849
  5. Step 5: Solve for x
    x = 15,657,849/2,046
  6. Step 6: Final answer
    x = 7,652.91

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.