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Finding the Third Proportional to 12,446.16 and 26,873.02

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Solution

The third proportional to 12,446.16 and 26,873.02 is: 58,022.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,446.16 : 26,873.02 = 26,873.02 : x
  2. Step 2: Convert to fraction form
    12,446.16/26,873.02 = 26,873.02/x
  3. Step 3: Cross multiply
    12,446.16x = 26,873.02 × 26,873.02
  4. Step 4: Simplify right side
    12,446.16x = 722,158,968.78
  5. Step 5: Solve for x
    x = 722,158,968.78/12,446.16
  6. Step 6: Final answer
    x = 58,022.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.