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Finding the Third Proportional to 29,414 and 55,852

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Solution

The third proportional to 29,414 and 55,852 is: 106,053.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,414 : 55,852 = 55,852 : x
  2. Step 2: Convert to fraction form
    29,414/55,852 = 55,852/x
  3. Step 3: Cross multiply
    29,414x = 55,852 × 55,852
  4. Step 4: Simplify right side
    29,414x = 3,119,445,904
  5. Step 5: Solve for x
    x = 3,119,445,904/29,414
  6. Step 6: Final answer
    x = 106,053.10

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.