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Finding the Third Proportional to 4,839.12 and 7,699.43

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Solution

The third proportional to 4,839.12 and 7,699.43 is: 12,250.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,839.12 : 7,699.43 = 7,699.43 : x
  2. Step 2: Convert to fraction form
    4,839.12/7,699.43 = 7,699.43/x
  3. Step 3: Cross multiply
    4,839.12x = 7,699.43 × 7,699.43
  4. Step 4: Simplify right side
    4,839.12x = 59,281,217.51
  5. Step 5: Solve for x
    x = 59,281,217.51/4,839.12
  6. Step 6: Final answer
    x = 12,250.42

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.