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Finding the Third Proportional to 33,467.48 and 70,386.33

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Solution

The third proportional to 33,467.48 and 70,386.33 is: 148,031.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,467.48 : 70,386.33 = 70,386.33 : x
  2. Step 2: Convert to fraction form
    33,467.48/70,386.33 = 70,386.33/x
  3. Step 3: Cross multiply
    33,467.48x = 70,386.33 × 70,386.33
  4. Step 4: Simplify right side
    33,467.48x = 4,954,235,186.92
  5. Step 5: Solve for x
    x = 4,954,235,186.92/33,467.48
  6. Step 6: Final answer
    x = 148,031.30

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.