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Finding the Third Proportional to 9,972 and 14,950

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Solution

The third proportional to 9,972 and 14,950 is: 22,413.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,972 : 14,950 = 14,950 : x
  2. Step 2: Convert to fraction form
    9,972/14,950 = 14,950/x
  3. Step 3: Cross multiply
    9,972x = 14,950 × 14,950
  4. Step 4: Simplify right side
    9,972x = 223,502,500
  5. Step 5: Solve for x
    x = 223,502,500/9,972
  6. Step 6: Final answer
    x = 22,413.01

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