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Finding the Third Proportional to 25,495.50 and 56,039

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Solution

The third proportional to 25,495.50 and 56,039 is: 123,173.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,495.50 : 56,039 = 56,039 : x
  2. Step 2: Convert to fraction form
    25,495.50/56,039 = 56,039/x
  3. Step 3: Cross multiply
    25,495.50x = 56,039 × 56,039
  4. Step 4: Simplify right side
    25,495.50x = 3,140,369,521
  5. Step 5: Solve for x
    x = 3,140,369,521/25,495.50
  6. Step 6: Final answer
    x = 123,173.48

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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.