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Finding the Third Proportional to 15,744.38 and 33,266.06

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Solution

The third proportional to 15,744.38 and 33,266.06 is: 70,287.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,744.38 : 33,266.06 = 33,266.06 : x
  2. Step 2: Convert to fraction form
    15,744.38/33,266.06 = 33,266.06/x
  3. Step 3: Cross multiply
    15,744.38x = 33,266.06 × 33,266.06
  4. Step 4: Simplify right side
    15,744.38x = 1,106,630,914.25
  5. Step 5: Solve for x
    x = 1,106,630,914.25/15,744.38
  6. Step 6: Final answer
    x = 70,287.38

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.