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Finding the Third Proportional to 37,716.50 and 74,470

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Solution

The third proportional to 37,716.50 and 74,470 is: 147,038.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,716.50 : 74,470 = 74,470 : x
  2. Step 2: Convert to fraction form
    37,716.50/74,470 = 74,470/x
  3. Step 3: Cross multiply
    37,716.50x = 74,470 × 74,470
  4. Step 4: Simplify right side
    37,716.50x = 5,545,780,900
  5. Step 5: Solve for x
    x = 5,545,780,900/37,716.50
  6. Step 6: Final answer
    x = 147,038.59

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.