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Finding the Third Proportional to 9,829.13 and 14,750.44

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Solution

The third proportional to 9,829.13 and 14,750.44 is: 22,135.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.13 : 14,750.44 = 14,750.44 : x
  2. Step 2: Convert to fraction form
    9,829.13/14,750.44 = 14,750.44/x
  3. Step 3: Cross multiply
    9,829.13x = 14,750.44 × 14,750.44
  4. Step 4: Simplify right side
    9,829.13x = 217,575,406.44
  5. Step 5: Solve for x
    x = 217,575,406.44/9,829.13
  6. Step 6: Final answer
    x = 22,135.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.