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Finding the Third Proportional to 29,207 and 47,456

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Solution

The third proportional to 29,207 and 47,456 is: 77,107.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,207 : 47,456 = 47,456 : x
  2. Step 2: Convert to fraction form
    29,207/47,456 = 47,456/x
  3. Step 3: Cross multiply
    29,207x = 47,456 × 47,456
  4. Step 4: Simplify right side
    29,207x = 2,252,071,936
  5. Step 5: Solve for x
    x = 2,252,071,936/29,207
  6. Step 6: Final answer
    x = 77,107.27

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.