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Finding the Third Proportional to 35,082.38 and 54,007.50

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Solution

The third proportional to 35,082.38 and 54,007.50 is: 83,141.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,082.38 : 54,007.50 = 54,007.50 : x
  2. Step 2: Convert to fraction form
    35,082.38/54,007.50 = 54,007.50/x
  3. Step 3: Cross multiply
    35,082.38x = 54,007.50 × 54,007.50
  4. Step 4: Simplify right side
    35,082.38x = 2,916,810,056.25
  5. Step 5: Solve for x
    x = 2,916,810,056.25/35,082.38
  6. Step 6: Final answer
    x = 83,141.75

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.