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Finding the Third Proportional to 4,056 and 8,313

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Solution

The third proportional to 4,056 and 8,313 is: 17,037.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,056 : 8,313 = 8,313 : x
  2. Step 2: Convert to fraction form
    4,056/8,313 = 8,313/x
  3. Step 3: Cross multiply
    4,056x = 8,313 × 8,313
  4. Step 4: Simplify right side
    4,056x = 69,105,969
  5. Step 5: Solve for x
    x = 69,105,969/4,056
  6. Step 6: Final answer
    x = 17,037.96

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.