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Finding the Third Proportional to 23,839.73 and 51,830.72

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Solution

The third proportional to 23,839.73 and 51,830.72 is: 112,686.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,839.73 : 51,830.72 = 51,830.72 : x
  2. Step 2: Convert to fraction form
    23,839.73/51,830.72 = 51,830.72/x
  3. Step 3: Cross multiply
    23,839.73x = 51,830.72 × 51,830.72
  4. Step 4: Simplify right side
    23,839.73x = 2,686,423,406.14
  5. Step 5: Solve for x
    x = 2,686,423,406.14/23,839.73
  6. Step 6: Final answer
    x = 112,686.80

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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.