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Finding the Third Proportional to 11,673.50 and 24,485.50

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Solution

The third proportional to 11,673.50 and 24,485.50 is: 51,359.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,673.50 : 24,485.50 = 24,485.50 : x
  2. Step 2: Convert to fraction form
    11,673.50/24,485.50 = 24,485.50/x
  3. Step 3: Cross multiply
    11,673.50x = 24,485.50 × 24,485.50
  4. Step 4: Simplify right side
    11,673.50x = 599,539,710.25
  5. Step 5: Solve for x
    x = 599,539,710.25/11,673.50
  6. Step 6: Final answer
    x = 51,359.04

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.