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Finding the Third Proportional to 24,950.81 and 54,113.06

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Solution

The third proportional to 24,950.81 and 54,113.06 is: 117,359.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,950.81 : 54,113.06 = 54,113.06 : x
  2. Step 2: Convert to fraction form
    24,950.81/54,113.06 = 54,113.06/x
  3. Step 3: Cross multiply
    24,950.81x = 54,113.06 × 54,113.06
  4. Step 4: Simplify right side
    24,950.81x = 2,928,223,533.13
  5. Step 5: Solve for x
    x = 2,928,223,533.13/24,950.81
  6. Step 6: Final answer
    x = 117,359.85

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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.