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Finding the Third Proportional to 24,416.25 and 36,617.63

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Solution

The third proportional to 24,416.25 and 36,617.63 is: 54,916.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,416.25 : 36,617.63 = 36,617.63 : x
  2. Step 2: Convert to fraction form
    24,416.25/36,617.63 = 36,617.63/x
  3. Step 3: Cross multiply
    24,416.25x = 36,617.63 × 36,617.63
  4. Step 4: Simplify right side
    24,416.25x = 1,340,850,460.64
  5. Step 5: Solve for x
    x = 1,340,850,460.64/24,416.25
  6. Step 6: Final answer
    x = 54,916.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.