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Finding the Third Proportional to 25,954 and 56,048

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Solution

The third proportional to 25,954 and 56,048 is: 121,036.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,954 : 56,048 = 56,048 : x
  2. Step 2: Convert to fraction form
    25,954/56,048 = 56,048/x
  3. Step 3: Cross multiply
    25,954x = 56,048 × 56,048
  4. Step 4: Simplify right side
    25,954x = 3,141,378,304
  5. Step 5: Solve for x
    x = 3,141,378,304/25,954
  6. Step 6: Final answer
    x = 121,036.38

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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.