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Finding the Third Proportional to 7,783.88 and 11,189.25

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Solution

The third proportional to 7,783.88 and 11,189.25 is: 16,084.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.88 : 11,189.25 = 11,189.25 : x
  2. Step 2: Convert to fraction form
    7,783.88/11,189.25 = 11,189.25/x
  3. Step 3: Cross multiply
    7,783.88x = 11,189.25 × 11,189.25
  4. Step 4: Simplify right side
    7,783.88x = 125,199,315.56
  5. Step 5: Solve for x
    x = 125,199,315.56/7,783.88
  6. Step 6: Final answer
    x = 16,084.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.