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Finding the Third Proportional to 34,671 and 63,834

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Solution

The third proportional to 34,671 and 63,834 is: 117,527.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,671 : 63,834 = 63,834 : x
  2. Step 2: Convert to fraction form
    34,671/63,834 = 63,834/x
  3. Step 3: Cross multiply
    34,671x = 63,834 × 63,834
  4. Step 4: Simplify right side
    34,671x = 4,074,779,556
  5. Step 5: Solve for x
    x = 4,074,779,556/34,671
  6. Step 6: Final answer
    x = 117,527.03

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These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.