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Finding the Third Proportional to 37,761.19 and 52,934.06

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Solution

The third proportional to 37,761.19 and 52,934.06 is: 74,203.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,761.19 : 52,934.06 = 52,934.06 : x
  2. Step 2: Convert to fraction form
    37,761.19/52,934.06 = 52,934.06/x
  3. Step 3: Cross multiply
    37,761.19x = 52,934.06 × 52,934.06
  4. Step 4: Simplify right side
    37,761.19x = 2,802,014,972.75
  5. Step 5: Solve for x
    x = 2,802,014,972.75/37,761.19
  6. Step 6: Final answer
    x = 74,203.57

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.