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Finding the Third Proportional to 1,776 and 3,462

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Solution

The third proportional to 1,776 and 3,462 is: 6,748.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776 : 3,462 = 3,462 : x
  2. Step 2: Convert to fraction form
    1,776/3,462 = 3,462/x
  3. Step 3: Cross multiply
    1,776x = 3,462 × 3,462
  4. Step 4: Simplify right side
    1,776x = 11,985,444
  5. Step 5: Solve for x
    x = 11,985,444/1,776
  6. Step 6: Final answer
    x = 6,748.56

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.