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Finding the Third Proportional to 15,106.50 and 33,233.63

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Solution

The third proportional to 15,106.50 and 33,233.63 is: 73,112.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,106.50 : 33,233.63 = 33,233.63 : x
  2. Step 2: Convert to fraction form
    15,106.50/33,233.63 = 33,233.63/x
  3. Step 3: Cross multiply
    15,106.50x = 33,233.63 × 33,233.63
  4. Step 4: Simplify right side
    15,106.50x = 1,104,473,830.64
  5. Step 5: Solve for x
    x = 1,104,473,830.64/15,106.50
  6. Step 6: Final answer
    x = 73,112.49

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.