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Finding the Third Proportional to 23,969.50 and 36,289.50

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Solution

The third proportional to 23,969.50 and 36,289.50 is: 54,941.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,969.50 : 36,289.50 = 36,289.50 : x
  2. Step 2: Convert to fraction form
    23,969.50/36,289.50 = 36,289.50/x
  3. Step 3: Cross multiply
    23,969.50x = 36,289.50 × 36,289.50
  4. Step 4: Simplify right side
    23,969.50x = 1,316,927,810.25
  5. Step 5: Solve for x
    x = 1,316,927,810.25/23,969.50
  6. Step 6: Final answer
    x = 54,941.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.