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Finding the Third Proportional to 20,155.50 and 30,928.50

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Solution

The third proportional to 20,155.50 and 30,928.50 is: 47,459.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,155.50 : 30,928.50 = 30,928.50 : x
  2. Step 2: Convert to fraction form
    20,155.50/30,928.50 = 30,928.50/x
  3. Step 3: Cross multiply
    20,155.50x = 30,928.50 × 30,928.50
  4. Step 4: Simplify right side
    20,155.50x = 956,572,112.25
  5. Step 5: Solve for x
    x = 956,572,112.25/20,155.50
  6. Step 6: Final answer
    x = 47,459.61

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.