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Finding the Third Proportional to 22,538 and 46,652

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Solution

The third proportional to 22,538 and 46,652 is: 96,566.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,538 : 46,652 = 46,652 : x
  2. Step 2: Convert to fraction form
    22,538/46,652 = 46,652/x
  3. Step 3: Cross multiply
    22,538x = 46,652 × 46,652
  4. Step 4: Simplify right side
    22,538x = 2,176,409,104
  5. Step 5: Solve for x
    x = 2,176,409,104/22,538
  6. Step 6: Final answer
    x = 96,566.20

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.