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Finding the Third Proportional to 30,629 and 46,123

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Solution

The third proportional to 30,629 and 46,123 is: 69,454.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,629 : 46,123 = 46,123 : x
  2. Step 2: Convert to fraction form
    30,629/46,123 = 46,123/x
  3. Step 3: Cross multiply
    30,629x = 46,123 × 46,123
  4. Step 4: Simplify right side
    30,629x = 2,127,331,129
  5. Step 5: Solve for x
    x = 2,127,331,129/30,629
  6. Step 6: Final answer
    x = 69,454.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.