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Finding the Third Proportional to 24,142.50 and 36,933.75

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Solution

The third proportional to 24,142.50 and 36,933.75 is: 56,502.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,142.50 : 36,933.75 = 36,933.75 : x
  2. Step 2: Convert to fraction form
    24,142.50/36,933.75 = 36,933.75/x
  3. Step 3: Cross multiply
    24,142.50x = 36,933.75 × 36,933.75
  4. Step 4: Simplify right side
    24,142.50x = 1,364,101,889.06
  5. Step 5: Solve for x
    x = 1,364,101,889.06/24,142.50
  6. Step 6: Final answer
    x = 56,502.10

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.