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Finding the Third Proportional to 12,033 and 17,173.50

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Solution

The third proportional to 12,033 and 17,173.50 is: 24,510.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,033 : 17,173.50 = 17,173.50 : x
  2. Step 2: Convert to fraction form
    12,033/17,173.50 = 17,173.50/x
  3. Step 3: Cross multiply
    12,033x = 17,173.50 × 17,173.50
  4. Step 4: Simplify right side
    12,033x = 294,929,102.25
  5. Step 5: Solve for x
    x = 294,929,102.25/12,033
  6. Step 6: Final answer
    x = 24,510.02

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.