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Finding the Third Proportional to 23,870.81 and 52,021.41

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Solution

The third proportional to 23,870.81 and 52,021.41 is: 113,369.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,870.81 : 52,021.41 = 52,021.41 : x
  2. Step 2: Convert to fraction form
    23,870.81/52,021.41 = 52,021.41/x
  3. Step 3: Cross multiply
    23,870.81x = 52,021.41 × 52,021.41
  4. Step 4: Simplify right side
    23,870.81x = 2,706,226,708.23
  5. Step 5: Solve for x
    x = 2,706,226,708.23/23,870.81
  6. Step 6: Final answer
    x = 113,369.69

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.