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Finding the Third Proportional to 23,824.13 and 55,390.50

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Solution

The third proportional to 23,824.13 and 55,390.50 is: 128,781.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,824.13 : 55,390.50 = 55,390.50 : x
  2. Step 2: Convert to fraction form
    23,824.13/55,390.50 = 55,390.50/x
  3. Step 3: Cross multiply
    23,824.13x = 55,390.50 × 55,390.50
  4. Step 4: Simplify right side
    23,824.13x = 3,068,107,490.25
  5. Step 5: Solve for x
    x = 3,068,107,490.25/23,824.13
  6. Step 6: Final answer
    x = 128,781.54

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.