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Finding the Third Proportional to 25,761 and 56,443

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Solution

The third proportional to 25,761 and 56,443 is: 123,668.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,761 : 56,443 = 56,443 : x
  2. Step 2: Convert to fraction form
    25,761/56,443 = 56,443/x
  3. Step 3: Cross multiply
    25,761x = 56,443 × 56,443
  4. Step 4: Simplify right side
    25,761x = 3,185,812,249
  5. Step 5: Solve for x
    x = 3,185,812,249/25,761
  6. Step 6: Final answer
    x = 123,668.03

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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.