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Finding the Third Proportional to 4,056 and 6,414

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Solution

The third proportional to 4,056 and 6,414 is: 10,142.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,056 : 6,414 = 6,414 : x
  2. Step 2: Convert to fraction form
    4,056/6,414 = 6,414/x
  3. Step 3: Cross multiply
    4,056x = 6,414 × 6,414
  4. Step 4: Simplify right side
    4,056x = 41,139,396
  5. Step 5: Solve for x
    x = 41,139,396/4,056
  6. Step 6: Final answer
    x = 10,142.85

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.