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Finding the Third Proportional to 16,035 and 23,881.50

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Solution

The third proportional to 16,035 and 23,881.50 is: 35,567.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,035 : 23,881.50 = 23,881.50 : x
  2. Step 2: Convert to fraction form
    16,035/23,881.50 = 23,881.50/x
  3. Step 3: Cross multiply
    16,035x = 23,881.50 × 23,881.50
  4. Step 4: Simplify right side
    16,035x = 570,326,042.25
  5. Step 5: Solve for x
    x = 570,326,042.25/16,035
  6. Step 6: Final answer
    x = 35,567.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.