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Finding the Third Proportional to 15,565 and 33,317

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Solution

The third proportional to 15,565 and 33,317 is: 71,315.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,565 : 33,317 = 33,317 : x
  2. Step 2: Convert to fraction form
    15,565/33,317 = 33,317/x
  3. Step 3: Cross multiply
    15,565x = 33,317 × 33,317
  4. Step 4: Simplify right side
    15,565x = 1,110,022,489
  5. Step 5: Solve for x
    x = 1,110,022,489/15,565
  6. Step 6: Final answer
    x = 71,315.29

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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.