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Finding the Third Proportional to 9,780.75 and 13,979.25

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Solution

The third proportional to 9,780.75 and 13,979.25 is: 19,980.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.75 : 13,979.25 = 13,979.25 : x
  2. Step 2: Convert to fraction form
    9,780.75/13,979.25 = 13,979.25/x
  3. Step 3: Cross multiply
    9,780.75x = 13,979.25 × 13,979.25
  4. Step 4: Simplify right side
    9,780.75x = 195,419,430.56
  5. Step 5: Solve for x
    x = 195,419,430.56/9,780.75
  6. Step 6: Final answer
    x = 19,980.00

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.