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Finding the Third Proportional to 24,063 and 36,199.50

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Solution

The third proportional to 24,063 and 36,199.50 is: 54,457.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,063 : 36,199.50 = 36,199.50 : x
  2. Step 2: Convert to fraction form
    24,063/36,199.50 = 36,199.50/x
  3. Step 3: Cross multiply
    24,063x = 36,199.50 × 36,199.50
  4. Step 4: Simplify right side
    24,063x = 1,310,403,800.25
  5. Step 5: Solve for x
    x = 1,310,403,800.25/24,063
  6. Step 6: Final answer
    x = 54,457.21

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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.