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Finding the Third Proportional to 15,565 and 33,598

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Solution

The third proportional to 15,565 and 33,598 is: 72,523.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,565 : 33,598 = 33,598 : x
  2. Step 2: Convert to fraction form
    15,565/33,598 = 33,598/x
  3. Step 3: Cross multiply
    15,565x = 33,598 × 33,598
  4. Step 4: Simplify right side
    15,565x = 1,128,825,604
  5. Step 5: Solve for x
    x = 1,128,825,604/15,565
  6. Step 6: Final answer
    x = 72,523.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.