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Finding the Third Proportional to 35,675.44 and 78,413.06

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Solution

The third proportional to 35,675.44 and 78,413.06 is: 172,348.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,675.44 : 78,413.06 = 78,413.06 : x
  2. Step 2: Convert to fraction form
    35,675.44/78,413.06 = 78,413.06/x
  3. Step 3: Cross multiply
    35,675.44x = 78,413.06 × 78,413.06
  4. Step 4: Simplify right side
    35,675.44x = 6,148,608,370.63
  5. Step 5: Solve for x
    x = 6,148,608,370.63/35,675.44
  6. Step 6: Final answer
    x = 172,348.51

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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.