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Finding the Third Proportional to 29,276 and 43,406

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Solution

The third proportional to 29,276 and 43,406 is: 64,355.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,276 : 43,406 = 43,406 : x
  2. Step 2: Convert to fraction form
    29,276/43,406 = 43,406/x
  3. Step 3: Cross multiply
    29,276x = 43,406 × 43,406
  4. Step 4: Simplify right side
    29,276x = 1,884,080,836
  5. Step 5: Solve for x
    x = 1,884,080,836/29,276
  6. Step 6: Final answer
    x = 64,355.81

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.