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Finding the Third Proportional to 11,842.88 and 18,474.75

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Solution

The third proportional to 11,842.88 and 18,474.75 is: 28,820.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.88 : 18,474.75 = 18,474.75 : x
  2. Step 2: Convert to fraction form
    11,842.88/18,474.75 = 18,474.75/x
  3. Step 3: Cross multiply
    11,842.88x = 18,474.75 × 18,474.75
  4. Step 4: Simplify right side
    11,842.88x = 341,316,387.56
  5. Step 5: Solve for x
    x = 341,316,387.56/11,842.88
  6. Step 6: Final answer
    x = 28,820.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.