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Finding the Third Proportional to 19,657 and 29,413.50

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Solution

The third proportional to 19,657 and 29,413.50 is: 44,012.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,657 : 29,413.50 = 29,413.50 : x
  2. Step 2: Convert to fraction form
    19,657/29,413.50 = 29,413.50/x
  3. Step 3: Cross multiply
    19,657x = 29,413.50 × 29,413.50
  4. Step 4: Simplify right side
    19,657x = 865,153,982.25
  5. Step 5: Solve for x
    x = 865,153,982.25/19,657
  6. Step 6: Final answer
    x = 44,012.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.