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Finding the Third Proportional to 1,506 and 3,299

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Solution

The third proportional to 1,506 and 3,299 is: 7,226.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506 : 3,299 = 3,299 : x
  2. Step 2: Convert to fraction form
    1,506/3,299 = 3,299/x
  3. Step 3: Cross multiply
    1,506x = 3,299 × 3,299
  4. Step 4: Simplify right side
    1,506x = 10,883,401
  5. Step 5: Solve for x
    x = 10,883,401/1,506
  6. Step 6: Final answer
    x = 7,226.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.