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Finding the Third Proportional to 4,020 and 8,254.50

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Solution

The third proportional to 4,020 and 8,254.50 is: 16,949.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,020 : 8,254.50 = 8,254.50 : x
  2. Step 2: Convert to fraction form
    4,020/8,254.50 = 8,254.50/x
  3. Step 3: Cross multiply
    4,020x = 8,254.50 × 8,254.50
  4. Step 4: Simplify right side
    4,020x = 68,136,770.25
  5. Step 5: Solve for x
    x = 68,136,770.25/4,020
  6. Step 6: Final answer
    x = 16,949.45

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.