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Finding the Third Proportional to 3,262 and 5,313

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Solution

The third proportional to 3,262 and 5,313 is: 8,653.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,262 : 5,313 = 5,313 : x
  2. Step 2: Convert to fraction form
    3,262/5,313 = 5,313/x
  3. Step 3: Cross multiply
    3,262x = 5,313 × 5,313
  4. Step 4: Simplify right side
    3,262x = 28,227,969
  5. Step 5: Solve for x
    x = 28,227,969/3,262
  6. Step 6: Final answer
    x = 8,653.58

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.