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Finding the Third Proportional to 4,311 and 4,675.50

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Solution

The third proportional to 4,311 and 4,675.50 is: 5,070.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,311 : 4,675.50 = 4,675.50 : x
  2. Step 2: Convert to fraction form
    4,311/4,675.50 = 4,675.50/x
  3. Step 3: Cross multiply
    4,311x = 4,675.50 × 4,675.50
  4. Step 4: Simplify right side
    4,311x = 21,860,300.25
  5. Step 5: Solve for x
    x = 21,860,300.25/4,311
  6. Step 6: Final answer
    x = 5,070.82

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.