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Finding the Third Proportional to 32,669 and 46,006

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Solution

The third proportional to 32,669 and 46,006 is: 64,787.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,669 : 46,006 = 46,006 : x
  2. Step 2: Convert to fraction form
    32,669/46,006 = 46,006/x
  3. Step 3: Cross multiply
    32,669x = 46,006 × 46,006
  4. Step 4: Simplify right side
    32,669x = 2,116,552,036
  5. Step 5: Solve for x
    x = 2,116,552,036/32,669
  6. Step 6: Final answer
    x = 64,787.78

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.