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Finding the Third Proportional to 42,011.50 and 65,049

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Solution

The third proportional to 42,011.50 and 65,049 is: 100,719.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,011.50 : 65,049 = 65,049 : x
  2. Step 2: Convert to fraction form
    42,011.50/65,049 = 65,049/x
  3. Step 3: Cross multiply
    42,011.50x = 65,049 × 65,049
  4. Step 4: Simplify right side
    42,011.50x = 4,231,372,401
  5. Step 5: Solve for x
    x = 4,231,372,401/42,011.50
  6. Step 6: Final answer
    x = 100,719.38

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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.