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Finding the Third Proportional to 34,943 and 49,395

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Solution

The third proportional to 34,943 and 49,395 is: 69,824.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,943 : 49,395 = 49,395 : x
  2. Step 2: Convert to fraction form
    34,943/49,395 = 49,395/x
  3. Step 3: Cross multiply
    34,943x = 49,395 × 49,395
  4. Step 4: Simplify right side
    34,943x = 2,439,866,025
  5. Step 5: Solve for x
    x = 2,439,866,025/34,943
  6. Step 6: Final answer
    x = 69,824.17

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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.