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Finding the Third Proportional to 9,784.88 and 13,107.75

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Solution

The third proportional to 9,784.88 and 13,107.75 is: 17,559.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.88 : 13,107.75 = 13,107.75 : x
  2. Step 2: Convert to fraction form
    9,784.88/13,107.75 = 13,107.75/x
  3. Step 3: Cross multiply
    9,784.88x = 13,107.75 × 13,107.75
  4. Step 4: Simplify right side
    9,784.88x = 171,813,110.06
  5. Step 5: Solve for x
    x = 171,813,110.06/9,784.88
  6. Step 6: Final answer
    x = 17,559.05

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Why These Related Problems?

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