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Finding the Third Proportional to 6,409.13 and 9,147.94

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Solution

The third proportional to 6,409.13 and 9,147.94 is: 13,057.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.13 : 9,147.94 = 9,147.94 : x
  2. Step 2: Convert to fraction form
    6,409.13/9,147.94 = 9,147.94/x
  3. Step 3: Cross multiply
    6,409.13x = 9,147.94 × 9,147.94
  4. Step 4: Simplify right side
    6,409.13x = 83,684,760.50
  5. Step 5: Solve for x
    x = 83,684,760.50/6,409.13
  6. Step 6: Final answer
    x = 13,057.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.