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Finding the Third Proportional to 25,934 and 55,420

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Solution

The third proportional to 25,934 and 55,420 is: 118,430.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,934 : 55,420 = 55,420 : x
  2. Step 2: Convert to fraction form
    25,934/55,420 = 55,420/x
  3. Step 3: Cross multiply
    25,934x = 55,420 × 55,420
  4. Step 4: Simplify right side
    25,934x = 3,071,376,400
  5. Step 5: Solve for x
    x = 3,071,376,400/25,934
  6. Step 6: Final answer
    x = 118,430.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.