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Finding the Third Proportional to 10,669.22 and 23,309.02

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Solution

The third proportional to 10,669.22 and 23,309.02 is: 50,923.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,669.22 : 23,309.02 = 23,309.02 : x
  2. Step 2: Convert to fraction form
    10,669.22/23,309.02 = 23,309.02/x
  3. Step 3: Cross multiply
    10,669.22x = 23,309.02 × 23,309.02
  4. Step 4: Simplify right side
    10,669.22x = 543,310,209.41
  5. Step 5: Solve for x
    x = 543,310,209.41/10,669.22
  6. Step 6: Final answer
    x = 50,923.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.