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Finding the Third Proportional to 51,830.50 and 108,883

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Solution

The third proportional to 51,830.50 and 108,883 is: 228,736.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,830.50 : 108,883 = 108,883 : x
  2. Step 2: Convert to fraction form
    51,830.50/108,883 = 108,883/x
  3. Step 3: Cross multiply
    51,830.50x = 108,883 × 108,883
  4. Step 4: Simplify right side
    51,830.50x = 11,855,507,689
  5. Step 5: Solve for x
    x = 11,855,507,689/51,830.50
  6. Step 6: Final answer
    x = 228,736.12

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.