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Finding the Third Proportional to 34,434 and 54,621

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Solution

The third proportional to 34,434 and 54,621 is: 86,642.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,434 : 54,621 = 54,621 : x
  2. Step 2: Convert to fraction form
    34,434/54,621 = 54,621/x
  3. Step 3: Cross multiply
    34,434x = 54,621 × 54,621
  4. Step 4: Simplify right side
    34,434x = 2,983,453,641
  5. Step 5: Solve for x
    x = 2,983,453,641/34,434
  6. Step 6: Final answer
    x = 86,642.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.