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Finding the Third Proportional to 3,207 and 3,459

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Solution

The third proportional to 3,207 and 3,459 is: 3,730.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207 : 3,459 = 3,459 : x
  2. Step 2: Convert to fraction form
    3,207/3,459 = 3,459/x
  3. Step 3: Cross multiply
    3,207x = 3,459 × 3,459
  4. Step 4: Simplify right side
    3,207x = 11,964,681
  5. Step 5: Solve for x
    x = 11,964,681/3,207
  6. Step 6: Final answer
    x = 3,730.80

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.