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Finding the Third Proportional to 1,402 and 3,283

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Solution

The third proportional to 1,402 and 3,283 is: 7,687.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402 : 3,283 = 3,283 : x
  2. Step 2: Convert to fraction form
    1,402/3,283 = 3,283/x
  3. Step 3: Cross multiply
    1,402x = 3,283 × 3,283
  4. Step 4: Simplify right side
    1,402x = 10,778,089
  5. Step 5: Solve for x
    x = 10,778,089/1,402
  6. Step 6: Final answer
    x = 7,687.65

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.