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Finding the Third Proportional to 29,500 and 64,185

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Solution

The third proportional to 29,500 and 64,185 is: 139,651.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,500 : 64,185 = 64,185 : x
  2. Step 2: Convert to fraction form
    29,500/64,185 = 64,185/x
  3. Step 3: Cross multiply
    29,500x = 64,185 × 64,185
  4. Step 4: Simplify right side
    29,500x = 4,119,714,225
  5. Step 5: Solve for x
    x = 4,119,714,225/29,500
  6. Step 6: Final answer
    x = 139,651.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.