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Finding the Third Proportional to 1,597 and 3,467

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Solution

The third proportional to 1,597 and 3,467 is: 7,526.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597 : 3,467 = 3,467 : x
  2. Step 2: Convert to fraction form
    1,597/3,467 = 3,467/x
  3. Step 3: Cross multiply
    1,597x = 3,467 × 3,467
  4. Step 4: Simplify right side
    1,597x = 12,020,089
  5. Step 5: Solve for x
    x = 12,020,089/1,597
  6. Step 6: Final answer
    x = 7,526.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.