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Finding the Third Proportional to 4,190 and 4,514

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Solution

The third proportional to 4,190 and 4,514 is: 4,863.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,190 : 4,514 = 4,514 : x
  2. Step 2: Convert to fraction form
    4,190/4,514 = 4,514/x
  3. Step 3: Cross multiply
    4,190x = 4,514 × 4,514
  4. Step 4: Simplify right side
    4,190x = 20,376,196
  5. Step 5: Solve for x
    x = 20,376,196/4,190
  6. Step 6: Final answer
    x = 4,863.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.