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Finding the Third Proportional to 25,996 and 56,363

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Solution

The third proportional to 25,996 and 56,363 is: 122,202.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,996 : 56,363 = 56,363 : x
  2. Step 2: Convert to fraction form
    25,996/56,363 = 56,363/x
  3. Step 3: Cross multiply
    25,996x = 56,363 × 56,363
  4. Step 4: Simplify right side
    25,996x = 3,176,787,769
  5. Step 5: Solve for x
    x = 3,176,787,769/25,996
  6. Step 6: Final answer
    x = 122,202.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.