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Finding the Third Proportional to 12,801 and 29,653.50

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Solution

The third proportional to 12,801 and 29,653.50 is: 68,692.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,801 : 29,653.50 = 29,653.50 : x
  2. Step 2: Convert to fraction form
    12,801/29,653.50 = 29,653.50/x
  3. Step 3: Cross multiply
    12,801x = 29,653.50 × 29,653.50
  4. Step 4: Simplify right side
    12,801x = 879,330,062.25
  5. Step 5: Solve for x
    x = 879,330,062.25/12,801
  6. Step 6: Final answer
    x = 68,692.29

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.