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Finding the Third Proportional to 15,676 and 30,566.50

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Solution

The third proportional to 15,676 and 30,566.50 is: 59,601.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,676 : 30,566.50 = 30,566.50 : x
  2. Step 2: Convert to fraction form
    15,676/30,566.50 = 30,566.50/x
  3. Step 3: Cross multiply
    15,676x = 30,566.50 × 30,566.50
  4. Step 4: Simplify right side
    15,676x = 934,310,922.25
  5. Step 5: Solve for x
    x = 934,310,922.25/15,676
  6. Step 6: Final answer
    x = 59,601.36

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.