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Finding the Third Proportional to 3,264 and 6,365

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Solution

The third proportional to 3,264 and 6,365 is: 12,412.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264 : 6,365 = 6,365 : x
  2. Step 2: Convert to fraction form
    3,264/6,365 = 6,365/x
  3. Step 3: Cross multiply
    3,264x = 6,365 × 6,365
  4. Step 4: Simplify right side
    3,264x = 40,513,225
  5. Step 5: Solve for x
    x = 40,513,225/3,264
  6. Step 6: Final answer
    x = 12,412.14

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.