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Finding the Third Proportional to 15,162 and 35,403.75

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Solution

The third proportional to 15,162 and 35,403.75 is: 82,668.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,162 : 35,403.75 = 35,403.75 : x
  2. Step 2: Convert to fraction form
    15,162/35,403.75 = 35,403.75/x
  3. Step 3: Cross multiply
    15,162x = 35,403.75 × 35,403.75
  4. Step 4: Simplify right side
    15,162x = 1,253,425,514.06
  5. Step 5: Solve for x
    x = 1,253,425,514.06/15,162
  6. Step 6: Final answer
    x = 82,668.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.