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Finding the Third Proportional to 24,664.50 and 53,989.88

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Solution

The third proportional to 24,664.50 and 53,989.88 is: 118,182.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,664.50 : 53,989.88 = 53,989.88 : x
  2. Step 2: Convert to fraction form
    24,664.50/53,989.88 = 53,989.88/x
  3. Step 3: Cross multiply
    24,664.50x = 53,989.88 × 53,989.88
  4. Step 4: Simplify right side
    24,664.50x = 2,914,906,602.52
  5. Step 5: Solve for x
    x = 2,914,906,602.52/24,664.50
  6. Step 6: Final answer
    x = 118,182.27

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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.