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Finding the Third Proportional to 34,039 and 74,798

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Solution

The third proportional to 34,039 and 74,798 is: 164,362.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,039 : 74,798 = 74,798 : x
  2. Step 2: Convert to fraction form
    34,039/74,798 = 74,798/x
  3. Step 3: Cross multiply
    34,039x = 74,798 × 74,798
  4. Step 4: Simplify right side
    34,039x = 5,594,740,804
  5. Step 5: Solve for x
    x = 5,594,740,804/34,039
  6. Step 6: Final answer
    x = 164,362.67

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Why These Related Problems?

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