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Finding the Third Proportional to 20,803.50 and 24,475.50

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Solution

The third proportional to 20,803.50 and 24,475.50 is: 28,795.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,803.50 : 24,475.50 = 24,475.50 : x
  2. Step 2: Convert to fraction form
    20,803.50/24,475.50 = 24,475.50/x
  3. Step 3: Cross multiply
    20,803.50x = 24,475.50 × 24,475.50
  4. Step 4: Simplify right side
    20,803.50x = 599,050,100.25
  5. Step 5: Solve for x
    x = 599,050,100.25/20,803.50
  6. Step 6: Final answer
    x = 28,795.64

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.