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Finding the Third Proportional to 12,506.91 and 26,449.03

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Solution

The third proportional to 12,506.91 and 26,449.03 is: 55,933.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,506.91 : 26,449.03 = 26,449.03 : x
  2. Step 2: Convert to fraction form
    12,506.91/26,449.03 = 26,449.03/x
  3. Step 3: Cross multiply
    12,506.91x = 26,449.03 × 26,449.03
  4. Step 4: Simplify right side
    12,506.91x = 699,551,254.06
  5. Step 5: Solve for x
    x = 699,551,254.06/12,506.91
  6. Step 6: Final answer
    x = 55,933.20

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.