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Finding the Third Proportional to 29,197 and 46,240

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Solution

The third proportional to 29,197 and 46,240 is: 73,231.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,197 : 46,240 = 46,240 : x
  2. Step 2: Convert to fraction form
    29,197/46,240 = 46,240/x
  3. Step 3: Cross multiply
    29,197x = 46,240 × 46,240
  4. Step 4: Simplify right side
    29,197x = 2,138,137,600
  5. Step 5: Solve for x
    x = 2,138,137,600/29,197
  6. Step 6: Final answer
    x = 73,231.41

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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.