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Finding the Third Proportional to 17,430.19 and 25,413.75

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Solution

The third proportional to 17,430.19 and 25,413.75 is: 37,054.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,430.19 : 25,413.75 = 25,413.75 : x
  2. Step 2: Convert to fraction form
    17,430.19/25,413.75 = 25,413.75/x
  3. Step 3: Cross multiply
    17,430.19x = 25,413.75 × 25,413.75
  4. Step 4: Simplify right side
    17,430.19x = 645,858,689.06
  5. Step 5: Solve for x
    x = 645,858,689.06/17,430.19
  6. Step 6: Final answer
    x = 37,054.03

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.