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Finding the Third Proportional to 11,764.13 and 25,232.63

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Solution

The third proportional to 11,764.13 and 25,232.63 is: 54,120.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,764.13 : 25,232.63 = 25,232.63 : x
  2. Step 2: Convert to fraction form
    11,764.13/25,232.63 = 25,232.63/x
  3. Step 3: Cross multiply
    11,764.13x = 25,232.63 × 25,232.63
  4. Step 4: Simplify right side
    11,764.13x = 636,685,364.39
  5. Step 5: Solve for x
    x = 636,685,364.39/11,764.13
  6. Step 6: Final answer
    x = 54,120.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.