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Finding the Third Proportional to 5,914 and 6,522

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Solution

The third proportional to 5,914 and 6,522 is: 7,192.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,914 : 6,522 = 6,522 : x
  2. Step 2: Convert to fraction form
    5,914/6,522 = 6,522/x
  3. Step 3: Cross multiply
    5,914x = 6,522 × 6,522
  4. Step 4: Simplify right side
    5,914x = 42,536,484
  5. Step 5: Solve for x
    x = 42,536,484/5,914
  6. Step 6: Final answer
    x = 7,192.51

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.