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Finding the Third Proportional to 4,782.38 and 6,404.06

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Solution

The third proportional to 4,782.38 and 6,404.06 is: 8,575.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.38 : 6,404.06 = 6,404.06 : x
  2. Step 2: Convert to fraction form
    4,782.38/6,404.06 = 6,404.06/x
  3. Step 3: Cross multiply
    4,782.38x = 6,404.06 × 6,404.06
  4. Step 4: Simplify right side
    4,782.38x = 41,012,016.50
  5. Step 5: Solve for x
    x = 41,012,016.50/4,782.38
  6. Step 6: Final answer
    x = 8,575.66

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.