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Finding the Third Proportional to 25,596 and 55,832

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Solution

The third proportional to 25,596 and 55,832 is: 121,785.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,596 : 55,832 = 55,832 : x
  2. Step 2: Convert to fraction form
    25,596/55,832 = 55,832/x
  3. Step 3: Cross multiply
    25,596x = 55,832 × 55,832
  4. Step 4: Simplify right side
    25,596x = 3,117,212,224
  5. Step 5: Solve for x
    x = 3,117,212,224/25,596
  6. Step 6: Final answer
    x = 121,785.13

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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.