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Finding the Third Proportional to 2,397 and 5,169

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Solution

The third proportional to 2,397 and 5,169 is: 11,146.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397 : 5,169 = 5,169 : x
  2. Step 2: Convert to fraction form
    2,397/5,169 = 5,169/x
  3. Step 3: Cross multiply
    2,397x = 5,169 × 5,169
  4. Step 4: Simplify right side
    2,397x = 26,718,561
  5. Step 5: Solve for x
    x = 26,718,561/2,397
  6. Step 6: Final answer
    x = 11,146.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.