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Finding the Third Proportional to 35,534 and 55,029

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Solution

The third proportional to 35,534 and 55,029 is: 85,219.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,534 : 55,029 = 55,029 : x
  2. Step 2: Convert to fraction form
    35,534/55,029 = 55,029/x
  3. Step 3: Cross multiply
    35,534x = 55,029 × 55,029
  4. Step 4: Simplify right side
    35,534x = 3,028,190,841
  5. Step 5: Solve for x
    x = 3,028,190,841/35,534
  6. Step 6: Final answer
    x = 85,219.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.