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Finding the Third Proportional to 25,967 and 56,470

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Solution

The third proportional to 25,967 and 56,470 is: 122,804.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,967 : 56,470 = 56,470 : x
  2. Step 2: Convert to fraction form
    25,967/56,470 = 56,470/x
  3. Step 3: Cross multiply
    25,967x = 56,470 × 56,470
  4. Step 4: Simplify right side
    25,967x = 3,188,860,900
  5. Step 5: Solve for x
    x = 3,188,860,900/25,967
  6. Step 6: Final answer
    x = 122,804.36

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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.