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Finding the Third Proportional to 7,762 and 18,514

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Solution

The third proportional to 7,762 and 18,514 is: 44,159.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762 : 18,514 = 18,514 : x
  2. Step 2: Convert to fraction form
    7,762/18,514 = 18,514/x
  3. Step 3: Cross multiply
    7,762x = 18,514 × 18,514
  4. Step 4: Simplify right side
    7,762x = 342,768,196
  5. Step 5: Solve for x
    x = 342,768,196/7,762
  6. Step 6: Final answer
    x = 44,159.78

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.