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Finding the Third Proportional to 35,105 and 45,541.50

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Solution

The third proportional to 35,105 and 45,541.50 is: 59,080.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,105 : 45,541.50 = 45,541.50 : x
  2. Step 2: Convert to fraction form
    35,105/45,541.50 = 45,541.50/x
  3. Step 3: Cross multiply
    35,105x = 45,541.50 × 45,541.50
  4. Step 4: Simplify right side
    35,105x = 2,074,028,222.25
  5. Step 5: Solve for x
    x = 2,074,028,222.25/35,105
  6. Step 6: Final answer
    x = 59,080.71

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.