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Finding the Third Proportional to 20,264.50 and 30,315.50

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Solution

The third proportional to 20,264.50 and 30,315.50 is: 45,351.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,264.50 : 30,315.50 = 30,315.50 : x
  2. Step 2: Convert to fraction form
    20,264.50/30,315.50 = 30,315.50/x
  3. Step 3: Cross multiply
    20,264.50x = 30,315.50 × 30,315.50
  4. Step 4: Simplify right side
    20,264.50x = 919,029,540.25
  5. Step 5: Solve for x
    x = 919,029,540.25/20,264.50
  6. Step 6: Final answer
    x = 45,351.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.