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Finding the Third Proportional to 35,800 and 55,052

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Solution

The third proportional to 35,800 and 55,052 is: 84,657.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,800 : 55,052 = 55,052 : x
  2. Step 2: Convert to fraction form
    35,800/55,052 = 55,052/x
  3. Step 3: Cross multiply
    35,800x = 55,052 × 55,052
  4. Step 4: Simplify right side
    35,800x = 3,030,722,704
  5. Step 5: Solve for x
    x = 3,030,722,704/35,800
  6. Step 6: Final answer
    x = 84,657.06

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Why These Related Problems?

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