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Finding the Third Proportional to 25,554 and 34,341

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Solution

The third proportional to 25,554 and 34,341 is: 46,149.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,554 : 34,341 = 34,341 : x
  2. Step 2: Convert to fraction form
    25,554/34,341 = 34,341/x
  3. Step 3: Cross multiply
    25,554x = 34,341 × 34,341
  4. Step 4: Simplify right side
    25,554x = 1,179,304,281
  5. Step 5: Solve for x
    x = 1,179,304,281/25,554
  6. Step 6: Final answer
    x = 46,149.50

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.