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Finding the Third Proportional to 12,609 and 24,853.50

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Solution

The third proportional to 12,609 and 24,853.50 is: 48,988.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,609 : 24,853.50 = 24,853.50 : x
  2. Step 2: Convert to fraction form
    12,609/24,853.50 = 24,853.50/x
  3. Step 3: Cross multiply
    12,609x = 24,853.50 × 24,853.50
  4. Step 4: Simplify right side
    12,609x = 617,696,462.25
  5. Step 5: Solve for x
    x = 617,696,462.25/12,609
  6. Step 6: Final answer
    x = 48,988.54

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.