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Finding the Third Proportional to 11,147.63 and 14,860.97

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Solution

The third proportional to 11,147.63 and 14,860.97 is: 19,811.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,147.63 : 14,860.97 = 14,860.97 : x
  2. Step 2: Convert to fraction form
    11,147.63/14,860.97 = 14,860.97/x
  3. Step 3: Cross multiply
    11,147.63x = 14,860.97 × 14,860.97
  4. Step 4: Simplify right side
    11,147.63x = 220,848,392.19
  5. Step 5: Solve for x
    x = 220,848,392.19/11,147.63
  6. Step 6: Final answer
    x = 19,811.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.