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Finding the Third Proportional to 21,763.69 and 29,524.50

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Solution

The third proportional to 21,763.69 and 29,524.50 is: 40,052.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,763.69 : 29,524.50 = 29,524.50 : x
  2. Step 2: Convert to fraction form
    21,763.69/29,524.50 = 29,524.50/x
  3. Step 3: Cross multiply
    21,763.69x = 29,524.50 × 29,524.50
  4. Step 4: Simplify right side
    21,763.69x = 871,696,100.25
  5. Step 5: Solve for x
    x = 871,696,100.25/21,763.69
  6. Step 6: Final answer
    x = 40,052.78

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.