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Finding the Third Proportional to 28,329.50 and 41,711

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Solution

The third proportional to 28,329.50 and 41,711 is: 61,413.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,329.50 : 41,711 = 41,711 : x
  2. Step 2: Convert to fraction form
    28,329.50/41,711 = 41,711/x
  3. Step 3: Cross multiply
    28,329.50x = 41,711 × 41,711
  4. Step 4: Simplify right side
    28,329.50x = 1,739,807,521
  5. Step 5: Solve for x
    x = 1,739,807,521/28,329.50
  6. Step 6: Final answer
    x = 61,413.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.