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Finding the Third Proportional to 6,453.13 and 9,490.69

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Solution

The third proportional to 6,453.13 and 9,490.69 is: 13,958.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,453.13 : 9,490.69 = 9,490.69 : x
  2. Step 2: Convert to fraction form
    6,453.13/9,490.69 = 9,490.69/x
  3. Step 3: Cross multiply
    6,453.13x = 9,490.69 × 9,490.69
  4. Step 4: Simplify right side
    6,453.13x = 90,073,149.22
  5. Step 5: Solve for x
    x = 90,073,149.22/6,453.13
  6. Step 6: Final answer
    x = 13,958.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.