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Finding the Third Proportional to 32,669 and 48,877

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Solution

The third proportional to 32,669 and 48,877 is: 73,126.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,669 : 48,877 = 48,877 : x
  2. Step 2: Convert to fraction form
    32,669/48,877 = 48,877/x
  3. Step 3: Cross multiply
    32,669x = 48,877 × 48,877
  4. Step 4: Simplify right side
    32,669x = 2,388,961,129
  5. Step 5: Solve for x
    x = 2,388,961,129/32,669
  6. Step 6: Final answer
    x = 73,126.24

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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.