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Finding the Third Proportional to 34,408 and 53,176

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Solution

The third proportional to 34,408 and 53,176 is: 82,181.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,408 : 53,176 = 53,176 : x
  2. Step 2: Convert to fraction form
    34,408/53,176 = 53,176/x
  3. Step 3: Cross multiply
    34,408x = 53,176 × 53,176
  4. Step 4: Simplify right side
    34,408x = 2,827,686,976
  5. Step 5: Solve for x
    x = 2,827,686,976/34,408
  6. Step 6: Final answer
    x = 82,181.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.