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Finding the Third Proportional to 28,770.75 and 45,799.31

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Solution

The third proportional to 28,770.75 and 45,799.31 is: 72,906.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,770.75 : 45,799.31 = 45,799.31 : x
  2. Step 2: Convert to fraction form
    28,770.75/45,799.31 = 45,799.31/x
  3. Step 3: Cross multiply
    28,770.75x = 45,799.31 × 45,799.31
  4. Step 4: Simplify right side
    28,770.75x = 2,097,577,025.47
  5. Step 5: Solve for x
    x = 2,097,577,025.47/28,770.75
  6. Step 6: Final answer
    x = 72,906.58

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.