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Finding the Third Proportional to 25,887 and 56,006

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Solution

The third proportional to 25,887 and 56,006 is: 121,167.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,887 : 56,006 = 56,006 : x
  2. Step 2: Convert to fraction form
    25,887/56,006 = 56,006/x
  3. Step 3: Cross multiply
    25,887x = 56,006 × 56,006
  4. Step 4: Simplify right side
    25,887x = 3,136,672,036
  5. Step 5: Solve for x
    x = 3,136,672,036/25,887
  6. Step 6: Final answer
    x = 121,167.85

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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.