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Finding the Third Proportional to 25,657 and 56,357

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Solution

The third proportional to 25,657 and 56,357 is: 123,791.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,657 : 56,357 = 56,357 : x
  2. Step 2: Convert to fraction form
    25,657/56,357 = 56,357/x
  3. Step 3: Cross multiply
    25,657x = 56,357 × 56,357
  4. Step 4: Simplify right side
    25,657x = 3,176,111,449
  5. Step 5: Solve for x
    x = 3,176,111,449/25,657
  6. Step 6: Final answer
    x = 123,791.22

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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.