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Finding the Third Proportional to 37,413.56 and 83,130.75

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Solution

The third proportional to 37,413.56 and 83,130.75 is: 184,711.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,413.56 : 83,130.75 = 83,130.75 : x
  2. Step 2: Convert to fraction form
    37,413.56/83,130.75 = 83,130.75/x
  3. Step 3: Cross multiply
    37,413.56x = 83,130.75 × 83,130.75
  4. Step 4: Simplify right side
    37,413.56x = 6,910,721,595.56
  5. Step 5: Solve for x
    x = 6,910,721,595.56/37,413.56
  6. Step 6: Final answer
    x = 184,711.67

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.