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Finding the Third Proportional to 12,965.48 and 26,406.56

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Solution

The third proportional to 12,965.48 and 26,406.56 is: 53,781.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,965.48 : 26,406.56 = 26,406.56 : x
  2. Step 2: Convert to fraction form
    12,965.48/26,406.56 = 26,406.56/x
  3. Step 3: Cross multiply
    12,965.48x = 26,406.56 × 26,406.56
  4. Step 4: Simplify right side
    12,965.48x = 697,306,543.07
  5. Step 5: Solve for x
    x = 697,306,543.07/12,965.48
  6. Step 6: Final answer
    x = 53,781.76

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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.