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Finding the Third Proportional to 24,634 and 36,077

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Solution

The third proportional to 24,634 and 36,077 is: 52,835.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,634 : 36,077 = 36,077 : x
  2. Step 2: Convert to fraction form
    24,634/36,077 = 36,077/x
  3. Step 3: Cross multiply
    24,634x = 36,077 × 36,077
  4. Step 4: Simplify right side
    24,634x = 1,301,549,929
  5. Step 5: Solve for x
    x = 1,301,549,929/24,634
  6. Step 6: Final answer
    x = 52,835.51

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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.