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Finding the Third Proportional to 10,729.97 and 15,821.58

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Solution

The third proportional to 10,729.97 and 15,821.58 is: 23,329.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.97 : 15,821.58 = 15,821.58 : x
  2. Step 2: Convert to fraction form
    10,729.97/15,821.58 = 15,821.58/x
  3. Step 3: Cross multiply
    10,729.97x = 15,821.58 × 15,821.58
  4. Step 4: Simplify right side
    10,729.97x = 250,322,334.37
  5. Step 5: Solve for x
    x = 250,322,334.37/10,729.97
  6. Step 6: Final answer
    x = 23,329.27

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.