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Finding the Third Proportional to 21,322 and 46,525

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Solution

The third proportional to 21,322 and 46,525 is: 101,518.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,322 : 46,525 = 46,525 : x
  2. Step 2: Convert to fraction form
    21,322/46,525 = 46,525/x
  3. Step 3: Cross multiply
    21,322x = 46,525 × 46,525
  4. Step 4: Simplify right side
    21,322x = 2,164,575,625
  5. Step 5: Solve for x
    x = 2,164,575,625/21,322
  6. Step 6: Final answer
    x = 101,518.41

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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.