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Finding the Third Proportional to 34,048 and 74,804

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Solution

The third proportional to 34,048 and 74,804 is: 164,345.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,048 : 74,804 = 74,804 : x
  2. Step 2: Convert to fraction form
    34,048/74,804 = 74,804/x
  3. Step 3: Cross multiply
    34,048x = 74,804 × 74,804
  4. Step 4: Simplify right side
    34,048x = 5,595,638,416
  5. Step 5: Solve for x
    x = 5,595,638,416/34,048
  6. Step 6: Final answer
    x = 164,345.58

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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.