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Finding the Third Proportional to 37,626.75 and 81,130.50

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Solution

The third proportional to 37,626.75 and 81,130.50 is: 174,932.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,626.75 : 81,130.50 = 81,130.50 : x
  2. Step 2: Convert to fraction form
    37,626.75/81,130.50 = 81,130.50/x
  3. Step 3: Cross multiply
    37,626.75x = 81,130.50 × 81,130.50
  4. Step 4: Simplify right side
    37,626.75x = 6,582,158,030.25
  5. Step 5: Solve for x
    x = 6,582,158,030.25/37,626.75
  6. Step 6: Final answer
    x = 174,932.94

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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.