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Finding the Third Proportional to 34,455 and 48,513

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Solution

The third proportional to 34,455 and 48,513 is: 68,306.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,455 : 48,513 = 48,513 : x
  2. Step 2: Convert to fraction form
    34,455/48,513 = 48,513/x
  3. Step 3: Cross multiply
    34,455x = 48,513 × 48,513
  4. Step 4: Simplify right side
    34,455x = 2,353,511,169
  5. Step 5: Solve for x
    x = 2,353,511,169/34,455
  6. Step 6: Final answer
    x = 68,306.81

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.