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Finding the Third Proportional to 4,933.41 and 10,697.06

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Solution

The third proportional to 4,933.41 and 10,697.06 is: 23,194.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,933.41 : 10,697.06 = 10,697.06 : x
  2. Step 2: Convert to fraction form
    4,933.41/10,697.06 = 10,697.06/x
  3. Step 3: Cross multiply
    4,933.41x = 10,697.06 × 10,697.06
  4. Step 4: Simplify right side
    4,933.41x = 114,427,146.13
  5. Step 5: Solve for x
    x = 114,427,146.13/4,933.41
  6. Step 6: Final answer
    x = 23,194.35

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.