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Finding the Third Proportional to 14,898.94 and 23,857.03

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Solution

The third proportional to 14,898.94 and 23,857.03 is: 38,201.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,898.94 : 23,857.03 = 23,857.03 : x
  2. Step 2: Convert to fraction form
    14,898.94/23,857.03 = 23,857.03/x
  3. Step 3: Cross multiply
    14,898.94x = 23,857.03 × 23,857.03
  4. Step 4: Simplify right side
    14,898.94x = 569,157,940.06
  5. Step 5: Solve for x
    x = 569,157,940.06/14,898.94
  6. Step 6: Final answer
    x = 38,201.24

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.