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Finding the Third Proportional to 25,886 and 56,003

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Solution

The third proportional to 25,886 and 56,003 is: 121,159.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,886 : 56,003 = 56,003 : x
  2. Step 2: Convert to fraction form
    25,886/56,003 = 56,003/x
  3. Step 3: Cross multiply
    25,886x = 56,003 × 56,003
  4. Step 4: Simplify right side
    25,886x = 3,136,336,009
  5. Step 5: Solve for x
    x = 3,136,336,009/25,886
  6. Step 6: Final answer
    x = 121,159.55

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