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Finding the Third Proportional to 15,043.50 and 34,821

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Solution

The third proportional to 15,043.50 and 34,821 is: 80,599.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,043.50 : 34,821 = 34,821 : x
  2. Step 2: Convert to fraction form
    15,043.50/34,821 = 34,821/x
  3. Step 3: Cross multiply
    15,043.50x = 34,821 × 34,821
  4. Step 4: Simplify right side
    15,043.50x = 1,212,502,041
  5. Step 5: Solve for x
    x = 1,212,502,041/15,043.50
  6. Step 6: Final answer
    x = 80,599.73

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.