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Finding the Third Proportional to 25,827 and 56,001

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Solution

The third proportional to 25,827 and 56,001 is: 121,427.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,827 : 56,001 = 56,001 : x
  2. Step 2: Convert to fraction form
    25,827/56,001 = 56,001/x
  3. Step 3: Cross multiply
    25,827x = 56,001 × 56,001
  4. Step 4: Simplify right side
    25,827x = 3,136,112,001
  5. Step 5: Solve for x
    x = 3,136,112,001/25,827
  6. Step 6: Final answer
    x = 121,427.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.