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Finding the Third Proportional to 4,845.94 and 10,265.06

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Solution

The third proportional to 4,845.94 and 10,265.06 is: 21,744.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,845.94 : 10,265.06 = 10,265.06 : x
  2. Step 2: Convert to fraction form
    4,845.94/10,265.06 = 10,265.06/x
  3. Step 3: Cross multiply
    4,845.94x = 10,265.06 × 10,265.06
  4. Step 4: Simplify right side
    4,845.94x = 105,371,508.13
  5. Step 5: Solve for x
    x = 105,371,508.13/4,845.94
  6. Step 6: Final answer
    x = 21,744.30

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.