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Finding the Third Proportional to 35,413.50 and 76,089

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Solution

The third proportional to 35,413.50 and 76,089 is: 163,483.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,413.50 : 76,089 = 76,089 : x
  2. Step 2: Convert to fraction form
    35,413.50/76,089 = 76,089/x
  3. Step 3: Cross multiply
    35,413.50x = 76,089 × 76,089
  4. Step 4: Simplify right side
    35,413.50x = 5,789,535,921
  5. Step 5: Solve for x
    x = 5,789,535,921/35,413.50
  6. Step 6: Final answer
    x = 163,483.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.