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Finding the Third Proportional to 25,922 and 54,076

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Solution

The third proportional to 25,922 and 54,076 is: 112,808.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,922 : 54,076 = 54,076 : x
  2. Step 2: Convert to fraction form
    25,922/54,076 = 54,076/x
  3. Step 3: Cross multiply
    25,922x = 54,076 × 54,076
  4. Step 4: Simplify right side
    25,922x = 2,924,213,776
  5. Step 5: Solve for x
    x = 2,924,213,776/25,922
  6. Step 6: Final answer
    x = 112,808.19

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.