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Finding the Third Proportional to 18,382 and 29,123

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Solution

The third proportional to 18,382 and 29,123 is: 46,140.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,382 : 29,123 = 29,123 : x
  2. Step 2: Convert to fraction form
    18,382/29,123 = 29,123/x
  3. Step 3: Cross multiply
    18,382x = 29,123 × 29,123
  4. Step 4: Simplify right side
    18,382x = 848,149,129
  5. Step 5: Solve for x
    x = 848,149,129/18,382
  6. Step 6: Final answer
    x = 46,140.20

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.