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Finding the Third Proportional to 15,784.50 and 34,849

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Solution

The third proportional to 15,784.50 and 34,849 is: 76,939.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,784.50 : 34,849 = 34,849 : x
  2. Step 2: Convert to fraction form
    15,784.50/34,849 = 34,849/x
  3. Step 3: Cross multiply
    15,784.50x = 34,849 × 34,849
  4. Step 4: Simplify right side
    15,784.50x = 1,214,452,801
  5. Step 5: Solve for x
    x = 1,214,452,801/15,784.50
  6. Step 6: Final answer
    x = 76,939.58

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.