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Finding the Third Proportional to 12,965.94 and 26,407.88

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Solution

The third proportional to 12,965.94 and 26,407.88 is: 53,785.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,965.94 : 26,407.88 = 26,407.88 : x
  2. Step 2: Convert to fraction form
    12,965.94/26,407.88 = 26,407.88/x
  3. Step 3: Cross multiply
    12,965.94x = 26,407.88 × 26,407.88
  4. Step 4: Simplify right side
    12,965.94x = 697,375,862.02
  5. Step 5: Solve for x
    x = 697,375,862.02/12,965.94
  6. Step 6: Final answer
    x = 53,785.22

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.