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Finding the Third Proportional to 15,120.75 and 24,021.75

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Solution

The third proportional to 15,120.75 and 24,021.75 is: 38,162.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,120.75 : 24,021.75 = 24,021.75 : x
  2. Step 2: Convert to fraction form
    15,120.75/24,021.75 = 24,021.75/x
  3. Step 3: Cross multiply
    15,120.75x = 24,021.75 × 24,021.75
  4. Step 4: Simplify right side
    15,120.75x = 577,044,473.06
  5. Step 5: Solve for x
    x = 577,044,473.06/15,120.75
  6. Step 6: Final answer
    x = 38,162.42

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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.