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Finding the Third Proportional to 35,645.54 and 55,174.76

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Solution

The third proportional to 35,645.54 and 55,174.76 is: 85,403.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,645.54 : 55,174.76 = 55,174.76 : x
  2. Step 2: Convert to fraction form
    35,645.54/55,174.76 = 55,174.76/x
  3. Step 3: Cross multiply
    35,645.54x = 55,174.76 × 55,174.76
  4. Step 4: Simplify right side
    35,645.54x = 3,044,254,546.25
  5. Step 5: Solve for x
    x = 3,044,254,546.25/35,645.54
  6. Step 6: Final answer
    x = 85,403.53

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