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Finding the Third Proportional to 18,066 and 23,970.50

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Solution

The third proportional to 18,066 and 23,970.50 is: 31,804.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,066 : 23,970.50 = 23,970.50 : x
  2. Step 2: Convert to fraction form
    18,066/23,970.50 = 23,970.50/x
  3. Step 3: Cross multiply
    18,066x = 23,970.50 × 23,970.50
  4. Step 4: Simplify right side
    18,066x = 574,584,870.25
  5. Step 5: Solve for x
    x = 574,584,870.25/18,066
  6. Step 6: Final answer
    x = 31,804.76

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.