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Finding the Third Proportional to 25,346 and 55,748

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Solution

The third proportional to 25,346 and 55,748 is: 122,616.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,346 : 55,748 = 55,748 : x
  2. Step 2: Convert to fraction form
    25,346/55,748 = 55,748/x
  3. Step 3: Cross multiply
    25,346x = 55,748 × 55,748
  4. Step 4: Simplify right side
    25,346x = 3,107,839,504
  5. Step 5: Solve for x
    x = 3,107,839,504/25,346
  6. Step 6: Final answer
    x = 122,616.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.