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Finding the Third Proportional to 15,585.75 and 33,388.03

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Solution

The third proportional to 15,585.75 and 33,388.03 is: 71,524.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,585.75 : 33,388.03 = 33,388.03 : x
  2. Step 2: Convert to fraction form
    15,585.75/33,388.03 = 33,388.03/x
  3. Step 3: Cross multiply
    15,585.75x = 33,388.03 × 33,388.03
  4. Step 4: Simplify right side
    15,585.75x = 1,114,760,630.75
  5. Step 5: Solve for x
    x = 1,114,760,630.75/15,585.75
  6. Step 6: Final answer
    x = 71,524.35

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