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Finding the Third Proportional to 7,514 and 17,642

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Solution

The third proportional to 7,514 and 17,642 is: 41,421.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,514 : 17,642 = 17,642 : x
  2. Step 2: Convert to fraction form
    7,514/17,642 = 17,642/x
  3. Step 3: Cross multiply
    7,514x = 17,642 × 17,642
  4. Step 4: Simplify right side
    7,514x = 311,240,164
  5. Step 5: Solve for x
    x = 311,240,164/7,514
  6. Step 6: Final answer
    x = 41,421.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.