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Finding the Third Proportional to 19,026.25 and 30,301

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Solution

The third proportional to 19,026.25 and 30,301 is: 48,257.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,026.25 : 30,301 = 30,301 : x
  2. Step 2: Convert to fraction form
    19,026.25/30,301 = 30,301/x
  3. Step 3: Cross multiply
    19,026.25x = 30,301 × 30,301
  4. Step 4: Simplify right side
    19,026.25x = 918,150,601
  5. Step 5: Solve for x
    x = 918,150,601/19,026.25
  6. Step 6: Final answer
    x = 48,257.04

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.