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Finding the Third Proportional to 10,449 and 14,729.34

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Solution

The third proportional to 10,449 and 14,729.34 is: 20,763.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449 : 14,729.34 = 14,729.34 : x
  2. Step 2: Convert to fraction form
    10,449/14,729.34 = 14,729.34/x
  3. Step 3: Cross multiply
    10,449x = 14,729.34 × 14,729.34
  4. Step 4: Simplify right side
    10,449x = 216,953,567.31
  5. Step 5: Solve for x
    x = 216,953,567.31/10,449
  6. Step 6: Final answer
    x = 20,763.09

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.