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Finding the Third Proportional to 42,028.88 and 65,073.38

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Solution

The third proportional to 42,028.88 and 65,073.38 is: 100,753.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,028.88 : 65,073.38 = 65,073.38 : x
  2. Step 2: Convert to fraction form
    42,028.88/65,073.38 = 65,073.38/x
  3. Step 3: Cross multiply
    42,028.88x = 65,073.38 × 65,073.38
  4. Step 4: Simplify right side
    42,028.88x = 4,234,544,133.89
  5. Step 5: Solve for x
    x = 4,234,544,133.89/42,028.88
  6. Step 6: Final answer
    x = 100,753.21

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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.