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Finding the Third Proportional to 25,947.84 and 34,878.09

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Solution

The third proportional to 25,947.84 and 34,878.09 is: 46,881.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,947.84 : 34,878.09 = 34,878.09 : x
  2. Step 2: Convert to fraction form
    25,947.84/34,878.09 = 34,878.09/x
  3. Step 3: Cross multiply
    25,947.84x = 34,878.09 × 34,878.09
  4. Step 4: Simplify right side
    25,947.84x = 1,216,481,423.63
  5. Step 5: Solve for x
    x = 1,216,481,423.63/25,947.84
  6. Step 6: Final answer
    x = 46,881.79

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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.