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Finding the Third Proportional to 10,561.50 and 16,239.94

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Solution

The third proportional to 10,561.50 and 16,239.94 is: 24,971.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,561.50 : 16,239.94 = 16,239.94 : x
  2. Step 2: Convert to fraction form
    10,561.50/16,239.94 = 16,239.94/x
  3. Step 3: Cross multiply
    10,561.50x = 16,239.94 × 16,239.94
  4. Step 4: Simplify right side
    10,561.50x = 263,735,570.00
  5. Step 5: Solve for x
    x = 263,735,570.00/10,561.50
  6. Step 6: Final answer
    x = 24,971.41

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.