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Finding the Third Proportional to 35,280.56 and 75,413.53

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Solution

The third proportional to 35,280.56 and 75,413.53 is: 161,199.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,280.56 : 75,413.53 = 75,413.53 : x
  2. Step 2: Convert to fraction form
    35,280.56/75,413.53 = 75,413.53/x
  3. Step 3: Cross multiply
    35,280.56x = 75,413.53 × 75,413.53
  4. Step 4: Simplify right side
    35,280.56x = 5,687,200,695.59
  5. Step 5: Solve for x
    x = 5,687,200,695.59/35,280.56
  6. Step 6: Final answer
    x = 161,199.26

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.