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Finding the Third Proportional to 4,488.75 and 6,038.30

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Solution

The third proportional to 4,488.75 and 6,038.30 is: 8,122.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,488.75 : 6,038.30 = 6,038.30 : x
  2. Step 2: Convert to fraction form
    4,488.75/6,038.30 = 6,038.30/x
  3. Step 3: Cross multiply
    4,488.75x = 6,038.30 × 6,038.30
  4. Step 4: Simplify right side
    4,488.75x = 36,461,029.15
  5. Step 5: Solve for x
    x = 36,461,029.15/4,488.75
  6. Step 6: Final answer
    x = 8,122.76

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.