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Finding the Third Proportional to 37,347.75 and 57,828.94

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Solution

The third proportional to 37,347.75 and 57,828.94 is: 89,541.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,347.75 : 57,828.94 = 57,828.94 : x
  2. Step 2: Convert to fraction form
    37,347.75/57,828.94 = 57,828.94/x
  3. Step 3: Cross multiply
    37,347.75x = 57,828.94 × 57,828.94
  4. Step 4: Simplify right side
    37,347.75x = 3,344,186,012.38
  5. Step 5: Solve for x
    x = 3,344,186,012.38/37,347.75
  6. Step 6: Final answer
    x = 89,541.83

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.