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Finding the Third Proportional to 15,632.34 and 34,229.34

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Solution

The third proportional to 15,632.34 and 34,229.34 is: 74,950.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,632.34 : 34,229.34 = 34,229.34 : x
  2. Step 2: Convert to fraction form
    15,632.34/34,229.34 = 34,229.34/x
  3. Step 3: Cross multiply
    15,632.34x = 34,229.34 × 34,229.34
  4. Step 4: Simplify right side
    15,632.34x = 1,171,647,973.56
  5. Step 5: Solve for x
    x = 1,171,647,973.56/15,632.34
  6. Step 6: Final answer
    x = 74,950.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.