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Finding the Third Proportional to 6,464.63 and 9,147.75

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Solution

The third proportional to 6,464.63 and 9,147.75 is: 12,944.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.63 : 9,147.75 = 9,147.75 : x
  2. Step 2: Convert to fraction form
    6,464.63/9,147.75 = 9,147.75/x
  3. Step 3: Cross multiply
    6,464.63x = 9,147.75 × 9,147.75
  4. Step 4: Simplify right side
    6,464.63x = 83,681,330.06
  5. Step 5: Solve for x
    x = 83,681,330.06/6,464.63
  6. Step 6: Final answer
    x = 12,944.50

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.