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Finding the Third Proportional to 15,563 and 33,313

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Solution

The third proportional to 15,563 and 33,313 is: 71,307.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,563 : 33,313 = 33,313 : x
  2. Step 2: Convert to fraction form
    15,563/33,313 = 33,313/x
  3. Step 3: Cross multiply
    15,563x = 33,313 × 33,313
  4. Step 4: Simplify right side
    15,563x = 1,109,755,969
  5. Step 5: Solve for x
    x = 1,109,755,969/15,563
  6. Step 6: Final answer
    x = 71,307.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.