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Finding the Third Proportional to 28,803 and 62,825

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Solution

The third proportional to 28,803 and 62,825 is: 137,033.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,803 : 62,825 = 62,825 : x
  2. Step 2: Convert to fraction form
    28,803/62,825 = 62,825/x
  3. Step 3: Cross multiply
    28,803x = 62,825 × 62,825
  4. Step 4: Simplify right side
    28,803x = 3,946,980,625
  5. Step 5: Solve for x
    x = 3,946,980,625/28,803
  6. Step 6: Final answer
    x = 137,033.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.