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Finding the Third Proportional to 5,501.63 and 8,278.88

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Solution

The third proportional to 5,501.63 and 8,278.88 is: 12,458.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,501.63 : 8,278.88 = 8,278.88 : x
  2. Step 2: Convert to fraction form
    5,501.63/8,278.88 = 8,278.88/x
  3. Step 3: Cross multiply
    5,501.63x = 8,278.88 × 8,278.88
  4. Step 4: Simplify right side
    5,501.63x = 68,539,771.27
  5. Step 5: Solve for x
    x = 68,539,771.27/5,501.63
  6. Step 6: Final answer
    x = 12,458.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.