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Finding the Third Proportional to 906 and 2,361

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Solution

The third proportional to 906 and 2,361 is: 6,152.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    906 : 2,361 = 2,361 : x
  2. Step 2: Convert to fraction form
    906/2,361 = 2,361/x
  3. Step 3: Cross multiply
    906x = 2,361 × 2,361
  4. Step 4: Simplify right side
    906x = 5,574,321
  5. Step 5: Solve for x
    x = 5,574,321/906
  6. Step 6: Final answer
    x = 6,152.67

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Why These Related Problems?

These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.