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Finding the Third Proportional to 4,005 and 7,656.75

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Solution

The third proportional to 4,005 and 7,656.75 is: 14,638.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,005 : 7,656.75 = 7,656.75 : x
  2. Step 2: Convert to fraction form
    4,005/7,656.75 = 7,656.75/x
  3. Step 3: Cross multiply
    4,005x = 7,656.75 × 7,656.75
  4. Step 4: Simplify right side
    4,005x = 58,625,820.56
  5. Step 5: Solve for x
    x = 58,625,820.56/4,005
  6. Step 6: Final answer
    x = 14,638.16

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.