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Finding the Third Proportional to 35,309 and 49,499

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Solution

The third proportional to 35,309 and 49,499 is: 69,391.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,309 : 49,499 = 49,499 : x
  2. Step 2: Convert to fraction form
    35,309/49,499 = 49,499/x
  3. Step 3: Cross multiply
    35,309x = 49,499 × 49,499
  4. Step 4: Simplify right side
    35,309x = 2,450,151,001
  5. Step 5: Solve for x
    x = 2,450,151,001/35,309
  6. Step 6: Final answer
    x = 69,391.68

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.