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Finding the Third Proportional to 37,563.50 and 80,959

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Solution

The third proportional to 37,563.50 and 80,959 is: 174,487.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,563.50 : 80,959 = 80,959 : x
  2. Step 2: Convert to fraction form
    37,563.50/80,959 = 80,959/x
  3. Step 3: Cross multiply
    37,563.50x = 80,959 × 80,959
  4. Step 4: Simplify right side
    37,563.50x = 6,554,359,681
  5. Step 5: Solve for x
    x = 6,554,359,681/37,563.50
  6. Step 6: Final answer
    x = 174,487.46

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.