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Finding the Third Proportional to 15,879 and 24,376.50

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Solution

The third proportional to 15,879 and 24,376.50 is: 37,421.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,879 : 24,376.50 = 24,376.50 : x
  2. Step 2: Convert to fraction form
    15,879/24,376.50 = 24,376.50/x
  3. Step 3: Cross multiply
    15,879x = 24,376.50 × 24,376.50
  4. Step 4: Simplify right side
    15,879x = 594,213,752.25
  5. Step 5: Solve for x
    x = 594,213,752.25/15,879
  6. Step 6: Final answer
    x = 37,421.36

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.