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Finding the Third Proportional to 35,761.13 and 52,546.88

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Solution

The third proportional to 35,761.13 and 52,546.88 is: 77,211.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,761.13 : 52,546.88 = 52,546.88 : x
  2. Step 2: Convert to fraction form
    35,761.13/52,546.88 = 52,546.88/x
  3. Step 3: Cross multiply
    35,761.13x = 52,546.88 × 52,546.88
  4. Step 4: Simplify right side
    35,761.13x = 2,761,174,072.27
  5. Step 5: Solve for x
    x = 2,761,174,072.27/35,761.13
  6. Step 6: Final answer
    x = 77,211.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.