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Finding the Third Proportional to 19,281 and 29,233.50

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Solution

The third proportional to 19,281 and 29,233.50 is: 44,323.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,281 : 29,233.50 = 29,233.50 : x
  2. Step 2: Convert to fraction form
    19,281/29,233.50 = 29,233.50/x
  3. Step 3: Cross multiply
    19,281x = 29,233.50 × 29,233.50
  4. Step 4: Simplify right side
    19,281x = 854,597,522.25
  5. Step 5: Solve for x
    x = 854,597,522.25/19,281
  6. Step 6: Final answer
    x = 44,323.30

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.