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Finding the Third Proportional to 29,230 and 70,674

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Solution

The third proportional to 29,230 and 70,674 is: 170,879.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,230 : 70,674 = 70,674 : x
  2. Step 2: Convert to fraction form
    29,230/70,674 = 70,674/x
  3. Step 3: Cross multiply
    29,230x = 70,674 × 70,674
  4. Step 4: Simplify right side
    29,230x = 4,994,814,276
  5. Step 5: Solve for x
    x = 4,994,814,276/29,230
  6. Step 6: Final answer
    x = 170,879.72

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.