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Finding the Third Proportional to 57,297.38 and 74,865.75

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Solution

The third proportional to 57,297.38 and 74,865.75 is: 97,820.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,297.38 : 74,865.75 = 74,865.75 : x
  2. Step 2: Convert to fraction form
    57,297.38/74,865.75 = 74,865.75/x
  3. Step 3: Cross multiply
    57,297.38x = 74,865.75 × 74,865.75
  4. Step 4: Simplify right side
    57,297.38x = 5,604,880,523.06
  5. Step 5: Solve for x
    x = 5,604,880,523.06/57,297.38
  6. Step 6: Final answer
    x = 97,820.90

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.