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Finding the Third Proportional to 2,306 and 3,459

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Solution

The third proportional to 2,306 and 3,459 is: 5,188.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306 : 3,459 = 3,459 : x
  2. Step 2: Convert to fraction form
    2,306/3,459 = 3,459/x
  3. Step 3: Cross multiply
    2,306x = 3,459 × 3,459
  4. Step 4: Simplify right side
    2,306x = 11,964,681
  5. Step 5: Solve for x
    x = 11,964,681/2,306
  6. Step 6: Final answer
    x = 5,188.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.