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Finding the Third Proportional to 25,750 and 55,706

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Solution

The third proportional to 25,750 and 55,706 is: 120,511.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,750 : 55,706 = 55,706 : x
  2. Step 2: Convert to fraction form
    25,750/55,706 = 55,706/x
  3. Step 3: Cross multiply
    25,750x = 55,706 × 55,706
  4. Step 4: Simplify right side
    25,750x = 3,103,158,436
  5. Step 5: Solve for x
    x = 3,103,158,436/25,750
  6. Step 6: Final answer
    x = 120,511.01

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.