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Finding the Third Proportional to 35,037 and 54,398

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Solution

The third proportional to 35,037 and 54,398 is: 84,457.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,037 : 54,398 = 54,398 : x
  2. Step 2: Convert to fraction form
    35,037/54,398 = 54,398/x
  3. Step 3: Cross multiply
    35,037x = 54,398 × 54,398
  4. Step 4: Simplify right side
    35,037x = 2,959,142,404
  5. Step 5: Solve for x
    x = 2,959,142,404/35,037
  6. Step 6: Final answer
    x = 84,457.64

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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.