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Finding the Third Proportional to 46,263 and 51,123

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Solution

The third proportional to 46,263 and 51,123 is: 56,493.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,263 : 51,123 = 51,123 : x
  2. Step 2: Convert to fraction form
    46,263/51,123 = 51,123/x
  3. Step 3: Cross multiply
    46,263x = 51,123 × 51,123
  4. Step 4: Simplify right side
    46,263x = 2,613,561,129
  5. Step 5: Solve for x
    x = 2,613,561,129/46,263
  6. Step 6: Final answer
    x = 56,493.55

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.