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Finding the Third Proportional to 9,783.75 and 13,107.19

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Solution

The third proportional to 9,783.75 and 13,107.19 is: 17,559.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.75 : 13,107.19 = 13,107.19 : x
  2. Step 2: Convert to fraction form
    9,783.75/13,107.19 = 13,107.19/x
  3. Step 3: Cross multiply
    9,783.75x = 13,107.19 × 13,107.19
  4. Step 4: Simplify right side
    9,783.75x = 171,798,364.16
  5. Step 5: Solve for x
    x = 171,798,364.16/9,783.75
  6. Step 6: Final answer
    x = 17,559.56

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.