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Finding the Third Proportional to 3,417 and 3,957

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Solution

The third proportional to 3,417 and 3,957 is: 4,582.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417 : 3,957 = 3,957 : x
  2. Step 2: Convert to fraction form
    3,417/3,957 = 3,957/x
  3. Step 3: Cross multiply
    3,417x = 3,957 × 3,957
  4. Step 4: Simplify right side
    3,417x = 15,657,849
  5. Step 5: Solve for x
    x = 15,657,849/3,417
  6. Step 6: Final answer
    x = 4,582.34

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.