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Finding the Third Proportional to 35,286 and 49,459

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Solution

The third proportional to 35,286 and 49,459 is: 69,324.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,286 : 49,459 = 49,459 : x
  2. Step 2: Convert to fraction form
    35,286/49,459 = 49,459/x
  3. Step 3: Cross multiply
    35,286x = 49,459 × 49,459
  4. Step 4: Simplify right side
    35,286x = 2,446,192,681
  5. Step 5: Solve for x
    x = 2,446,192,681/35,286
  6. Step 6: Final answer
    x = 69,324.74

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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.