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Finding the Third Proportional to 25,747 and 34,333

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Solution

The third proportional to 25,747 and 34,333 is: 45,782.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,747 : 34,333 = 34,333 : x
  2. Step 2: Convert to fraction form
    25,747/34,333 = 34,333/x
  3. Step 3: Cross multiply
    25,747x = 34,333 × 34,333
  4. Step 4: Simplify right side
    25,747x = 1,178,754,889
  5. Step 5: Solve for x
    x = 1,178,754,889/25,747
  6. Step 6: Final answer
    x = 45,782.22

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.