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Finding the Third Proportional to 4,390.88 and 6,676.59

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Solution

The third proportional to 4,390.88 and 6,676.59 is: 10,152.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,390.88 : 6,676.59 = 6,676.59 : x
  2. Step 2: Convert to fraction form
    4,390.88/6,676.59 = 6,676.59/x
  3. Step 3: Cross multiply
    4,390.88x = 6,676.59 × 6,676.59
  4. Step 4: Simplify right side
    4,390.88x = 44,576,904.10
  5. Step 5: Solve for x
    x = 44,576,904.10/4,390.88
  6. Step 6: Final answer
    x = 10,152.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.