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Finding the Third Proportional to 25,893 and 56,017

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Solution

The third proportional to 25,893 and 56,017 is: 121,187.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,893 : 56,017 = 56,017 : x
  2. Step 2: Convert to fraction form
    25,893/56,017 = 56,017/x
  3. Step 3: Cross multiply
    25,893x = 56,017 × 56,017
  4. Step 4: Simplify right side
    25,893x = 3,137,904,289
  5. Step 5: Solve for x
    x = 3,137,904,289/25,893
  6. Step 6: Final answer
    x = 121,187.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.