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Finding the Third Proportional to 12,631.50 and 21,073.50

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Solution

The third proportional to 12,631.50 and 21,073.50 is: 35,157.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,631.50 : 21,073.50 = 21,073.50 : x
  2. Step 2: Convert to fraction form
    12,631.50/21,073.50 = 21,073.50/x
  3. Step 3: Cross multiply
    12,631.50x = 21,073.50 × 21,073.50
  4. Step 4: Simplify right side
    12,631.50x = 444,092,402.25
  5. Step 5: Solve for x
    x = 444,092,402.25/12,631.50
  6. Step 6: Final answer
    x = 35,157.53

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.