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Finding the Third Proportional to 12,953.25 and 27,079.88

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Solution

The third proportional to 12,953.25 and 27,079.88 is: 56,612.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,953.25 : 27,079.88 = 27,079.88 : x
  2. Step 2: Convert to fraction form
    12,953.25/27,079.88 = 27,079.88/x
  3. Step 3: Cross multiply
    12,953.25x = 27,079.88 × 27,079.88
  4. Step 4: Simplify right side
    12,953.25x = 733,319,630.02
  5. Step 5: Solve for x
    x = 733,319,630.02/12,953.25
  6. Step 6: Final answer
    x = 56,612.79

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.