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Finding the Third Proportional to 11,574.77 and 25,302.38

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Solution

The third proportional to 11,574.77 and 25,302.38 is: 55,310.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574.77 : 25,302.38 = 25,302.38 : x
  2. Step 2: Convert to fraction form
    11,574.77/25,302.38 = 25,302.38/x
  3. Step 3: Cross multiply
    11,574.77x = 25,302.38 × 25,302.38
  4. Step 4: Simplify right side
    11,574.77x = 640,210,180.64
  5. Step 5: Solve for x
    x = 640,210,180.64/11,574.77
  6. Step 6: Final answer
    x = 55,310.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.