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Finding the Third Proportional to 35,155.50 and 51,410.25

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Solution

The third proportional to 35,155.50 and 51,410.25 is: 75,180.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,155.50 : 51,410.25 = 51,410.25 : x
  2. Step 2: Convert to fraction form
    35,155.50/51,410.25 = 51,410.25/x
  3. Step 3: Cross multiply
    35,155.50x = 51,410.25 × 51,410.25
  4. Step 4: Simplify right side
    35,155.50x = 2,643,013,805.06
  5. Step 5: Solve for x
    x = 2,643,013,805.06/35,155.50
  6. Step 6: Final answer
    x = 75,180.66

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.