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Finding the Third Proportional to 5,604.75 and 8,421.75

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Solution

The third proportional to 5,604.75 and 8,421.75 is: 12,654.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604.75 : 8,421.75 = 8,421.75 : x
  2. Step 2: Convert to fraction form
    5,604.75/8,421.75 = 8,421.75/x
  3. Step 3: Cross multiply
    5,604.75x = 8,421.75 × 8,421.75
  4. Step 4: Simplify right side
    5,604.75x = 70,925,873.06
  5. Step 5: Solve for x
    x = 70,925,873.06/5,604.75
  6. Step 6: Final answer
    x = 12,654.60

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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.