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Finding the Third Proportional to 15,378.75 and 24,135.75

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Solution

The third proportional to 15,378.75 and 24,135.75 is: 37,879.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,378.75 : 24,135.75 = 24,135.75 : x
  2. Step 2: Convert to fraction form
    15,378.75/24,135.75 = 24,135.75/x
  3. Step 3: Cross multiply
    15,378.75x = 24,135.75 × 24,135.75
  4. Step 4: Simplify right side
    15,378.75x = 582,534,428.06
  5. Step 5: Solve for x
    x = 582,534,428.06/15,378.75
  6. Step 6: Final answer
    x = 37,879.18

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.