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Finding the Third Proportional to 28,620 and 43,783.50

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Solution

The third proportional to 28,620 and 43,783.50 is: 66,980.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,620 : 43,783.50 = 43,783.50 : x
  2. Step 2: Convert to fraction form
    28,620/43,783.50 = 43,783.50/x
  3. Step 3: Cross multiply
    28,620x = 43,783.50 × 43,783.50
  4. Step 4: Simplify right side
    28,620x = 1,916,994,872.25
  5. Step 5: Solve for x
    x = 1,916,994,872.25/28,620
  6. Step 6: Final answer
    x = 66,980.95

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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.