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Finding the Third Proportional to 12,182.63 and 26,612.44

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Solution

The third proportional to 12,182.63 and 26,612.44 is: 58,133.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182.63 : 26,612.44 = 26,612.44 : x
  2. Step 2: Convert to fraction form
    12,182.63/26,612.44 = 26,612.44/x
  3. Step 3: Cross multiply
    12,182.63x = 26,612.44 × 26,612.44
  4. Step 4: Simplify right side
    12,182.63x = 708,221,829.69
  5. Step 5: Solve for x
    x = 708,221,829.69/12,182.63
  6. Step 6: Final answer
    x = 58,133.76

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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.