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Finding the Third Proportional to 4,512 and 6,679.13

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Solution

The third proportional to 4,512 and 6,679.13 is: 9,887.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,512 : 6,679.13 = 6,679.13 : x
  2. Step 2: Convert to fraction form
    4,512/6,679.13 = 6,679.13/x
  3. Step 3: Cross multiply
    4,512x = 6,679.13 × 6,679.13
  4. Step 4: Simplify right side
    4,512x = 44,610,710.77
  5. Step 5: Solve for x
    x = 44,610,710.77/4,512
  6. Step 6: Final answer
    x = 9,887.13

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.