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Finding the Third Proportional to 29,645 and 52,717

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Solution

The third proportional to 29,645 and 52,717 is: 93,745.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,645 : 52,717 = 52,717 : x
  2. Step 2: Convert to fraction form
    29,645/52,717 = 52,717/x
  3. Step 3: Cross multiply
    29,645x = 52,717 × 52,717
  4. Step 4: Simplify right side
    29,645x = 2,779,082,089
  5. Step 5: Solve for x
    x = 2,779,082,089/29,645
  6. Step 6: Final answer
    x = 93,745.39

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.