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Finding the Third Proportional to 23,422 and 36,106

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Solution

The third proportional to 23,422 and 36,106 is: 55,658.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,422 : 36,106 = 36,106 : x
  2. Step 2: Convert to fraction form
    23,422/36,106 = 36,106/x
  3. Step 3: Cross multiply
    23,422x = 36,106 × 36,106
  4. Step 4: Simplify right side
    23,422x = 1,303,643,236
  5. Step 5: Solve for x
    x = 1,303,643,236/23,422
  6. Step 6: Final answer
    x = 55,658.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.