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Finding the Third Proportional to 7,833 and 16,313

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Solution

The third proportional to 7,833 and 16,313 is: 33,973.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833 : 16,313 = 16,313 : x
  2. Step 2: Convert to fraction form
    7,833/16,313 = 16,313/x
  3. Step 3: Cross multiply
    7,833x = 16,313 × 16,313
  4. Step 4: Simplify right side
    7,833x = 266,113,969
  5. Step 5: Solve for x
    x = 266,113,969/7,833
  6. Step 6: Final answer
    x = 33,973.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.