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Finding the Third Proportional to 35,022.38 and 53,581.50

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Solution

The third proportional to 35,022.38 and 53,581.50 is: 81,975.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,022.38 : 53,581.50 = 53,581.50 : x
  2. Step 2: Convert to fraction form
    35,022.38/53,581.50 = 53,581.50/x
  3. Step 3: Cross multiply
    35,022.38x = 53,581.50 × 53,581.50
  4. Step 4: Simplify right side
    35,022.38x = 2,870,977,142.25
  5. Step 5: Solve for x
    x = 2,870,977,142.25/35,022.38
  6. Step 6: Final answer
    x = 81,975.51

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.