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Finding the Third Proportional to 19,776 and 30,610

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Solution

The third proportional to 19,776 and 30,610 is: 47,379.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,776 : 30,610 = 30,610 : x
  2. Step 2: Convert to fraction form
    19,776/30,610 = 30,610/x
  3. Step 3: Cross multiply
    19,776x = 30,610 × 30,610
  4. Step 4: Simplify right side
    19,776x = 936,972,100
  5. Step 5: Solve for x
    x = 936,972,100/19,776
  6. Step 6: Final answer
    x = 47,379.25

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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.