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Finding the Third Proportional to 25,380.84 and 37,205.58

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Solution

The third proportional to 25,380.84 and 37,205.58 is: 54,539.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,380.84 : 37,205.58 = 37,205.58 : x
  2. Step 2: Convert to fraction form
    25,380.84/37,205.58 = 37,205.58/x
  3. Step 3: Cross multiply
    25,380.84x = 37,205.58 × 37,205.58
  4. Step 4: Simplify right side
    25,380.84x = 1,384,255,043.62
  5. Step 5: Solve for x
    x = 1,384,255,043.62/25,380.84
  6. Step 6: Final answer
    x = 54,539.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.