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Finding the Third Proportional to 25,655 and 56,353

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Solution

The third proportional to 25,655 and 56,353 is: 123,783.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,655 : 56,353 = 56,353 : x
  2. Step 2: Convert to fraction form
    25,655/56,353 = 56,353/x
  3. Step 3: Cross multiply
    25,655x = 56,353 × 56,353
  4. Step 4: Simplify right side
    25,655x = 3,175,660,609
  5. Step 5: Solve for x
    x = 3,175,660,609/25,655
  6. Step 6: Final answer
    x = 123,783.30

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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.