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Finding the Third Proportional to 21,773 and 29,419

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Solution

The third proportional to 21,773 and 29,419 is: 39,750.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,773 : 29,419 = 29,419 : x
  2. Step 2: Convert to fraction form
    21,773/29,419 = 29,419/x
  3. Step 3: Cross multiply
    21,773x = 29,419 × 29,419
  4. Step 4: Simplify right side
    21,773x = 865,477,561
  5. Step 5: Solve for x
    x = 865,477,561/21,773
  6. Step 6: Final answer
    x = 39,750.04

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.