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Finding the Third Proportional to 3,029.91 and 4,567.64

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Solution

The third proportional to 3,029.91 and 4,567.64 is: 6,885.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029.91 : 4,567.64 = 4,567.64 : x
  2. Step 2: Convert to fraction form
    3,029.91/4,567.64 = 4,567.64/x
  3. Step 3: Cross multiply
    3,029.91x = 4,567.64 × 4,567.64
  4. Step 4: Simplify right side
    3,029.91x = 20,863,340.88
  5. Step 5: Solve for x
    x = 20,863,340.88/3,029.91
  6. Step 6: Final answer
    x = 6,885.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.