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Finding the Third Proportional to 12,545.35 and 19,413.90

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Solution

The third proportional to 12,545.35 and 19,413.90 is: 30,042.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,545.35 : 19,413.90 = 19,413.90 : x
  2. Step 2: Convert to fraction form
    12,545.35/19,413.90 = 19,413.90/x
  3. Step 3: Cross multiply
    12,545.35x = 19,413.90 × 19,413.90
  4. Step 4: Simplify right side
    12,545.35x = 376,899,376.71
  5. Step 5: Solve for x
    x = 376,899,376.71/12,545.35
  6. Step 6: Final answer
    x = 30,042.96

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.