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Finding the Third Proportional to 25,658.44 and 56,374.31

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Solution

The third proportional to 25,658.44 and 56,374.31 is: 123,860.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,658.44 : 56,374.31 = 56,374.31 : x
  2. Step 2: Convert to fraction form
    25,658.44/56,374.31 = 56,374.31/x
  3. Step 3: Cross multiply
    25,658.44x = 56,374.31 × 56,374.31
  4. Step 4: Simplify right side
    25,658.44x = 3,178,063,109.85
  5. Step 5: Solve for x
    x = 3,178,063,109.85/25,658.44
  6. Step 6: Final answer
    x = 123,860.35

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.