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Finding the Third Proportional to 16,073 and 23,215.50

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Solution

The third proportional to 16,073 and 23,215.50 is: 33,531.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,073 : 23,215.50 = 23,215.50 : x
  2. Step 2: Convert to fraction form
    16,073/23,215.50 = 23,215.50/x
  3. Step 3: Cross multiply
    16,073x = 23,215.50 × 23,215.50
  4. Step 4: Simplify right side
    16,073x = 538,959,440.25
  5. Step 5: Solve for x
    x = 538,959,440.25/16,073
  6. Step 6: Final answer
    x = 33,531.98

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.