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Finding the Third Proportional to 25,839 and 56,292.47

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Solution

The third proportional to 25,839 and 56,292.47 is: 122,637.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,839 : 56,292.47 = 56,292.47 : x
  2. Step 2: Convert to fraction form
    25,839/56,292.47 = 56,292.47/x
  3. Step 3: Cross multiply
    25,839x = 56,292.47 × 56,292.47
  4. Step 4: Simplify right side
    25,839x = 3,168,842,037.97
  5. Step 5: Solve for x
    x = 3,168,842,037.97/25,839
  6. Step 6: Final answer
    x = 122,637.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.