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Finding the Third Proportional to 35,057.81 and 75,041.44

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Solution

The third proportional to 35,057.81 and 75,041.44 is: 160,626.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,057.81 : 75,041.44 = 75,041.44 : x
  2. Step 2: Convert to fraction form
    35,057.81/75,041.44 = 75,041.44/x
  3. Step 3: Cross multiply
    35,057.81x = 75,041.44 × 75,041.44
  4. Step 4: Simplify right side
    35,057.81x = 5,631,217,342.07
  5. Step 5: Solve for x
    x = 5,631,217,342.07/35,057.81
  6. Step 6: Final answer
    x = 160,626.60

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.