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Finding the Third Proportional to 2,306 and 3,502

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Solution

The third proportional to 2,306 and 3,502 is: 5,318.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306 : 3,502 = 3,502 : x
  2. Step 2: Convert to fraction form
    2,306/3,502 = 3,502/x
  3. Step 3: Cross multiply
    2,306x = 3,502 × 3,502
  4. Step 4: Simplify right side
    2,306x = 12,264,004
  5. Step 5: Solve for x
    x = 12,264,004/2,306
  6. Step 6: Final answer
    x = 5,318.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.