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Finding the Third Proportional to 4,133.11 and 9,748.69

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Solution

The third proportional to 4,133.11 and 9,748.69 is: 22,994.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,133.11 : 9,748.69 = 9,748.69 : x
  2. Step 2: Convert to fraction form
    4,133.11/9,748.69 = 9,748.69/x
  3. Step 3: Cross multiply
    4,133.11x = 9,748.69 × 9,748.69
  4. Step 4: Simplify right side
    4,133.11x = 95,036,907.97
  5. Step 5: Solve for x
    x = 95,036,907.97/4,133.11
  6. Step 6: Final answer
    x = 22,994.05

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.