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Finding the Third Proportional to 25,493 and 56,029

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Solution

The third proportional to 25,493 and 56,029 is: 123,141.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,493 : 56,029 = 56,029 : x
  2. Step 2: Convert to fraction form
    25,493/56,029 = 56,029/x
  3. Step 3: Cross multiply
    25,493x = 56,029 × 56,029
  4. Step 4: Simplify right side
    25,493x = 3,139,248,841
  5. Step 5: Solve for x
    x = 3,139,248,841/25,493
  6. Step 6: Final answer
    x = 123,141.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.