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Finding the Third Proportional to 34,673.06 and 52,169.06

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Solution

The third proportional to 34,673.06 and 52,169.06 is: 78,493.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,673.06 : 52,169.06 = 52,169.06 : x
  2. Step 2: Convert to fraction form
    34,673.06/52,169.06 = 52,169.06/x
  3. Step 3: Cross multiply
    34,673.06x = 52,169.06 × 52,169.06
  4. Step 4: Simplify right side
    34,673.06x = 2,721,611,082.13
  5. Step 5: Solve for x
    x = 2,721,611,082.13/34,673.06
  6. Step 6: Final answer
    x = 78,493.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.