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Finding the Third Proportional to 9,406.69 and 12,812.34

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Solution

The third proportional to 9,406.69 and 12,812.34 is: 17,451.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.69 : 12,812.34 = 12,812.34 : x
  2. Step 2: Convert to fraction form
    9,406.69/12,812.34 = 12,812.34/x
  3. Step 3: Cross multiply
    9,406.69x = 12,812.34 × 12,812.34
  4. Step 4: Simplify right side
    9,406.69x = 164,156,152.37
  5. Step 5: Solve for x
    x = 164,156,152.37/9,406.69
  6. Step 6: Final answer
    x = 17,451.01

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.