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Finding the Third Proportional to 15,072.19 and 32,738.44

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Solution

The third proportional to 15,072.19 and 32,738.44 is: 71,111.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,072.19 : 32,738.44 = 32,738.44 : x
  2. Step 2: Convert to fraction form
    15,072.19/32,738.44 = 32,738.44/x
  3. Step 3: Cross multiply
    15,072.19x = 32,738.44 × 32,738.44
  4. Step 4: Simplify right side
    15,072.19x = 1,071,805,289.94
  5. Step 5: Solve for x
    x = 1,071,805,289.94/15,072.19
  6. Step 6: Final answer
    x = 71,111.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.