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Finding the Third Proportional to 32,047 and 68,834

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Solution

The third proportional to 32,047 and 68,834 is: 147,849.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,047 : 68,834 = 68,834 : x
  2. Step 2: Convert to fraction form
    32,047/68,834 = 68,834/x
  3. Step 3: Cross multiply
    32,047x = 68,834 × 68,834
  4. Step 4: Simplify right side
    32,047x = 4,738,119,556
  5. Step 5: Solve for x
    x = 4,738,119,556/32,047
  6. Step 6: Final answer
    x = 147,849.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.