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Finding the Third Proportional to 12,323.23 and 26,812.11

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Solution

The third proportional to 12,323.23 and 26,812.11 is: 58,336.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,323.23 : 26,812.11 = 26,812.11 : x
  2. Step 2: Convert to fraction form
    12,323.23/26,812.11 = 26,812.11/x
  3. Step 3: Cross multiply
    12,323.23x = 26,812.11 × 26,812.11
  4. Step 4: Simplify right side
    12,323.23x = 718,889,104.40
  5. Step 5: Solve for x
    x = 718,889,104.40/12,323.23
  6. Step 6: Final answer
    x = 58,336.08

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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.