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Finding the Third Proportional to 23,674.50 and 51,802.88

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Solution

The third proportional to 23,674.50 and 51,802.88 is: 113,351.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,674.50 : 51,802.88 = 51,802.88 : x
  2. Step 2: Convert to fraction form
    23,674.50/51,802.88 = 51,802.88/x
  3. Step 3: Cross multiply
    23,674.50x = 51,802.88 × 51,802.88
  4. Step 4: Simplify right side
    23,674.50x = 2,683,537,858.27
  5. Step 5: Solve for x
    x = 2,683,537,858.27/23,674.50
  6. Step 6: Final answer
    x = 113,351.41

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.