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Finding the Third Proportional to 5,776.88 and 12,454.50

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Solution

The third proportional to 5,776.88 and 12,454.50 is: 26,850.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.88 : 12,454.50 = 12,454.50 : x
  2. Step 2: Convert to fraction form
    5,776.88/12,454.50 = 12,454.50/x
  3. Step 3: Cross multiply
    5,776.88x = 12,454.50 × 12,454.50
  4. Step 4: Simplify right side
    5,776.88x = 155,114,570.25
  5. Step 5: Solve for x
    x = 155,114,570.25/5,776.88
  6. Step 6: Final answer
    x = 26,850.95

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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.