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Finding the Third Proportional to 28,072.50 and 42,564

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Solution

The third proportional to 28,072.50 and 42,564 is: 64,536.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,072.50 : 42,564 = 42,564 : x
  2. Step 2: Convert to fraction form
    28,072.50/42,564 = 42,564/x
  3. Step 3: Cross multiply
    28,072.50x = 42,564 × 42,564
  4. Step 4: Simplify right side
    28,072.50x = 1,811,694,096
  5. Step 5: Solve for x
    x = 1,811,694,096/28,072.50
  6. Step 6: Final answer
    x = 64,536.26

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.