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Finding the Third Proportional to 37,243.55 and 56,981.60

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Solution

The third proportional to 37,243.55 and 56,981.60 is: 87,180.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,243.55 : 56,981.60 = 56,981.60 : x
  2. Step 2: Convert to fraction form
    37,243.55/56,981.60 = 56,981.60/x
  3. Step 3: Cross multiply
    37,243.55x = 56,981.60 × 56,981.60
  4. Step 4: Simplify right side
    37,243.55x = 3,246,902,916.63
  5. Step 5: Solve for x
    x = 3,246,902,916.63/37,243.55
  6. Step 6: Final answer
    x = 87,180.28

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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.