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Finding the Third Proportional to 29,192 and 46,230

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Solution

The third proportional to 29,192 and 46,230 is: 73,212.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,192 : 46,230 = 46,230 : x
  2. Step 2: Convert to fraction form
    29,192/46,230 = 46,230/x
  3. Step 3: Cross multiply
    29,192x = 46,230 × 46,230
  4. Step 4: Simplify right side
    29,192x = 2,137,212,900
  5. Step 5: Solve for x
    x = 2,137,212,900/29,192
  6. Step 6: Final answer
    x = 73,212.28

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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.