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Finding the Third Proportional to 15,316.50 and 33,063

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Solution

The third proportional to 15,316.50 and 33,063 is: 71,371.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,316.50 : 33,063 = 33,063 : x
  2. Step 2: Convert to fraction form
    15,316.50/33,063 = 33,063/x
  3. Step 3: Cross multiply
    15,316.50x = 33,063 × 33,063
  4. Step 4: Simplify right side
    15,316.50x = 1,093,161,969
  5. Step 5: Solve for x
    x = 1,093,161,969/15,316.50
  6. Step 6: Final answer
    x = 71,371.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.