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Finding the Third Proportional to 25,712.44 and 56,102.63

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Solution

The third proportional to 25,712.44 and 56,102.63 is: 122,411.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,712.44 : 56,102.63 = 56,102.63 : x
  2. Step 2: Convert to fraction form
    25,712.44/56,102.63 = 56,102.63/x
  3. Step 3: Cross multiply
    25,712.44x = 56,102.63 × 56,102.63
  4. Step 4: Simplify right side
    25,712.44x = 3,147,504,531.89
  5. Step 5: Solve for x
    x = 3,147,504,531.89/25,712.44
  6. Step 6: Final answer
    x = 122,411.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.