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Finding the Third Proportional to 24,133 and 36,916

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Solution

The third proportional to 24,133 and 36,916 is: 56,470.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,133 : 36,916 = 36,916 : x
  2. Step 2: Convert to fraction form
    24,133/36,916 = 36,916/x
  3. Step 3: Cross multiply
    24,133x = 36,916 × 36,916
  4. Step 4: Simplify right side
    24,133x = 1,362,791,056
  5. Step 5: Solve for x
    x = 1,362,791,056/24,133
  6. Step 6: Final answer
    x = 56,470.02

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Why These Related Problems?

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