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Finding the Third Proportional to 3,435 and 6,514.50

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Solution

The third proportional to 3,435 and 6,514.50 is: 12,354.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435 : 6,514.50 = 6,514.50 : x
  2. Step 2: Convert to fraction form
    3,435/6,514.50 = 6,514.50/x
  3. Step 3: Cross multiply
    3,435x = 6,514.50 × 6,514.50
  4. Step 4: Simplify right side
    3,435x = 42,438,710.25
  5. Step 5: Solve for x
    x = 42,438,710.25/3,435
  6. Step 6: Final answer
    x = 12,354.79

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.