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Finding the Third Proportional to 25,371.56 and 57,384.56

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Solution

The third proportional to 25,371.56 and 57,384.56 is: 129,790.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,371.56 : 57,384.56 = 57,384.56 : x
  2. Step 2: Convert to fraction form
    25,371.56/57,384.56 = 57,384.56/x
  3. Step 3: Cross multiply
    25,371.56x = 57,384.56 × 57,384.56
  4. Step 4: Simplify right side
    25,371.56x = 3,292,988,013.32
  5. Step 5: Solve for x
    x = 3,292,988,013.32/25,371.56
  6. Step 6: Final answer
    x = 129,790.51

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.