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Finding the Third Proportional to 25,491 and 55,906.50

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Solution

The third proportional to 25,491 and 55,906.50 is: 122,613.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,491 : 55,906.50 = 55,906.50 : x
  2. Step 2: Convert to fraction form
    25,491/55,906.50 = 55,906.50/x
  3. Step 3: Cross multiply
    25,491x = 55,906.50 × 55,906.50
  4. Step 4: Simplify right side
    25,491x = 3,125,536,742.25
  5. Step 5: Solve for x
    x = 3,125,536,742.25/25,491
  6. Step 6: Final answer
    x = 122,613.34

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.