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Finding the Third Proportional to 24,619 and 35,835

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Solution

The third proportional to 24,619 and 35,835 is: 52,160.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,619 : 35,835 = 35,835 : x
  2. Step 2: Convert to fraction form
    24,619/35,835 = 35,835/x
  3. Step 3: Cross multiply
    24,619x = 35,835 × 35,835
  4. Step 4: Simplify right side
    24,619x = 1,284,147,225
  5. Step 5: Solve for x
    x = 1,284,147,225/24,619
  6. Step 6: Final answer
    x = 52,160.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.