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Finding the Third Proportional to 5,655.45 and 8,474.63

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Solution

The third proportional to 5,655.45 and 8,474.63 is: 12,699.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.45 : 8,474.63 = 8,474.63 : x
  2. Step 2: Convert to fraction form
    5,655.45/8,474.63 = 8,474.63/x
  3. Step 3: Cross multiply
    5,655.45x = 8,474.63 × 8,474.63
  4. Step 4: Simplify right side
    5,655.45x = 71,819,268.89
  5. Step 5: Solve for x
    x = 71,819,268.89/5,655.45
  6. Step 6: Final answer
    x = 12,699.14

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Why These Related Problems?

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