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Finding the Third Proportional to 12,973 and 20,125.50

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Solution

The third proportional to 12,973 and 20,125.50 is: 31,221.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,973 : 20,125.50 = 20,125.50 : x
  2. Step 2: Convert to fraction form
    12,973/20,125.50 = 20,125.50/x
  3. Step 3: Cross multiply
    12,973x = 20,125.50 × 20,125.50
  4. Step 4: Simplify right side
    12,973x = 405,035,750.25
  5. Step 5: Solve for x
    x = 405,035,750.25/12,973
  6. Step 6: Final answer
    x = 31,221.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.