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Finding the Third Proportional to 33,647.06 and 70,779.66

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Solution

The third proportional to 33,647.06 and 70,779.66 is: 148,891.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,647.06 : 70,779.66 = 70,779.66 : x
  2. Step 2: Convert to fraction form
    33,647.06/70,779.66 = 70,779.66/x
  3. Step 3: Cross multiply
    33,647.06x = 70,779.66 × 70,779.66
  4. Step 4: Simplify right side
    33,647.06x = 5,009,759,738.87
  5. Step 5: Solve for x
    x = 5,009,759,738.87/33,647.06
  6. Step 6: Final answer
    x = 148,891.44

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.